The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^14+118x^15+187x^16+250x^17+358x^18+374x^19+360x^20+528x^21+528x^22+450x^23+298x^24+228x^25+186x^26+82x^27+48x^28+16x^29+15x^30+2x^32+2x^33

The gray image is a code over GF(2) with n=42, k=12 and d=14.
This code was found by Heurico 1.10 in 0.156 seconds.