The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^9+299x^10+662x^11+1210x^12+2046x^13+3508x^14+5310x^15+7057x^16+8372x^17+8686x^18+8128x^19+6860x^20+5240x^21+3680x^22+2224x^23+1222x^24+624x^25+207x^26+58x^27+34x^28+10x^29+4x^30+2x^31

The gray image is a code over GF(2) with n=36, k=16 and d=9.
This code was found by Heurico 1.10 in 12.2 seconds.