QECC [[14,0,6]]

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

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

QECC [[14,0,6]]

Matrix with stabilizers/seed generators and circuit for encoding: