The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+46x^9+165x^10+360x^11+640x^12+1044x^13+1676x^14+2608x^15+3493x^16+4060x^17+4382x^18+4112x^19+3452x^20+2776x^21+1868x^22+1072x^23+594x^24+262x^25+101x^26+40x^27+12x^28+4x^29

The gray image is a code over GF(2) with n=36, k=15 and d=9.
This code was found by Heurico 1.10 in 2.94 seconds.