The generator matrix

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

generates a code of length 19 over Z4 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+36x^11+98x^12+192x^13+334x^14+468x^15+575x^16+788x^17+1042x^18+1060x^19+962x^20+892x^21+726x^22+460x^23+272x^24+172x^25+70x^26+24x^27+12x^28+4x^29+4x^30

The gray image is a code over GF(2) with n=38, k=13 and d=11.
This code was found by Heurico 1.10 in 0.394 seconds.