QECC [[39,3,9]]

[1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 a 1 a^2 1 0 1 a^2 a a^2 a^2 a a^2 1 0 1
a^2 1 a 1]
[0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 a^2 a a 1 1 a 1 1 0 1 1 a 1 1 a a 
a^2 a^2]
[0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2 a 1 0 1 1 a a a^2 a^2 a^2 a^2 1 a^2 a a
a a^2 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 1 0 1 1 a a a^2 a^2 a^2 a^2 1 a^2 a
a a a^2 1 a^2]
[0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2 a^2 a 1 a^2 a^2 1 a 0 a^2 1 1 a 1 a a^2
1 0 1 a a]
[0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 a 1 0 0 0 1 a^2 a^2 a^2 a^2 a 0 a a^2 a^2 a
1 0 a a 0]
[0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 a 1 0 0 0 1 a^2 a^2 a^2 a^2 a 0 a a^2 a^2
a 1 0 a a]
[0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 a a 1 a^2 1 a 0 a^2 a 0 a a 1 1 0 a^2 1 a^2
a^2 a^2 0]
[0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 a a 1 a^2 1 a 0 a^2 a 0 a a 1 1 0 a^2 1 
a^2 a^2 a^2]
[0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 a^2 a^2 a^2 1 a^2 0 1 1 a a 0 a a^2 0 a 1 
a^2 1 a a 0]
[0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 a^2 a^2 a^2 1 a^2 0 1 1 a a 0 a a^2 0 a 1
a^2 1 a a]
[0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 a a 0 1 a a^2 a^2 a 0 a a^2 a^2 a^2 a^2 1 0
0 0 1 a 0]
[0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 a a 0 1 a a^2 a^2 a 0 a a^2 a^2 a^2 a^2 1
0 0 0 1 a]
[0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 a a 1 0 1 a^2 a 1 a 1 1 a^2 0 a 1 a^2 a^2 1
a a^2 a^2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 a^2 1 a^2 a a a a^2 1 a^2 a^2 a^2 a^2 a a 1
1 0 1 a 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^2 a a a a^2 1 a^2 a^2 a^2 a^2 a a
1 1 0 1 a a^2]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 a^2 a^2 a a 1 1 a 1 1 0 1 1 a 1 1 a a a^2 
a^2 0 1]
[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 a 1 a^2 1 0 1 a^2 a a^2 a^2 a a^2 1 0 1 
a^2 1 a 1 1]

Matrix with stabilizers/seed generators and circuit for encoding: