QECC [[11,5,3]]

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

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