The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+44x^10+118x^11+244x^12+282x^13+382x^14+640x^15+848x^16+982x^17+1089x^18+1040x^19+759x^20+646x^21+485x^22+296x^23+187x^24+74x^25+47x^26+18x^27+9x^28+1x^30

The gray image is a code over GF(2) with n=36, k=13 and d=10.
This code was found by Heurico 1.10 in 0.313 seconds.