QECC [[20,10,4]]

This pure code is based on a linear self-orthogonal code over GF(4) with generator matrix:

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

QECC [[20,10,4]]

Matrix with stabilizers/seed generators and circuit for encoding: