QECC [[41,1,11]]

This pure code is based on a linear self-orthogonal code over GF(4) with generator matrix:
[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 a a^2 a^2 1 a 0 1 a^2 a^2 a^2 a^2 a^2
a^2 1 0 a 1 a^2 a^2 a]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a a a^2 a 1 a a a 0 a a a a a 1 1 a^2 0
0 a 0]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a a a^2 a 1 a a a 0 a a a a a 1 1 a^2
0 0 a]
[0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a a^2 a^2 a^2 1 1 1 0 a^2 a^2 1 a^2 a^2
a^2 0 a a a^2 a 1 a^2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2 a^2 1 1 0 0 1 a a 1 1 a^2 1 1 0 0 
a^2 1 1 0 0]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2 a^2 1 1 0 0 1 a a 1 1 a^2 1 1 0 0
a^2 1 1 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2 a^2 1 1 0 0 1 a a 1 1 a^2 1 1 0
0 a^2 1 1]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 a a^2 0 a a^2 1 1 a^2 a 1 1 a a a 1 
a^2 1 a^2 0 a^2]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 a^2 0 0 1 a^2 a^2 a^2 a a^2 1 0 a^2 a^2
0 1 a 0 0 a^2 1 1]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 a^2 a^2 0 1 a^2 a 1 0 a a^2 0 0 1 1
0 1 a^2 0 a^2]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 a^2 0 a^2 1 0 1 1 0 0 a^2 a 0 1 a a^2 1
0 a^2 a^2 1 1]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 a^2 0 0 a 1 0 a^2 a^2 0 1 a^2 a a^2
a^2 a^2 1 0 0 a^2]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 a^2 0 a^2 1 a^2 1 a a a 1 1 a a^2 1 1 
a^2 a 0 a^2 a 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 a^2 0 0 1 1 a^2 1 1 a a 1 0 0 1 1 
a^2 a^2 0 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 a^2 0 0 1 1 a^2 1 1 a a 1 0 0 1 1
a^2 a^2 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 a^2 0 0 1 1 a^2 1 1 a a 1 0 0 1
1 a^2 a^2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 a^2 1 a a^2 a a 0 a^2 a^2 a^2 1 a^2 a^2
0 1 1 1 a^2 a^2 a^2 a]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 a 0 0 a^2 1 1 a a a a a 0 a a a 1 a a^2
a a 0]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 a 0 0 a^2 1 1 a a a a a 0 a a a 1 a 
a^2 a a]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 a a^2 a^2 1 a 0 1 a^2 a^2 a^2 a^2 a^2 
a^2 1 0 a 1 a^2 a^2 a 1]
QECC [[41,1,11]]

Matrix with stabilizers/seed generators and circuit for encoding:
