The generator matrix

1 0 0 0 0 1 1 1 2 1 1 1 1 0 1 1 1 1 0 1 1
0 1 0 0 0 0 1 1 1 2 0 3 3 1 0 2 3 3 1 1 0
0 0 1 0 0 1 0 0 0 1 2 1 1 2 2 3 2 3 1 0 0
0 0 0 1 0 1 0 1 3 3 3 2 3 3 3 2 1 1 1 0 0
0 0 0 0 1 1 3 2 1 0 0 1 2 0 1 3 3 3 1 1 0
0 0 0 0 0 2 2 0 2 0 2 0 2 0 0 0 2 0 2 2 0

generates a code of length 21 over Z4 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+23x^14+86x^15+101x^16+124x^17+168x^18+194x^19+218x^20+212x^21+232x^22+202x^23+162x^24+132x^25+84x^26+62x^27+26x^28+12x^29+5x^30+4x^32

The gray image is a code over GF(2) with n=42, k=11 and d=14.
This code was found by Heurico 1.10 in 0.031 seconds.