The generator matrix

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

generates a code of length 18 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+111x^8+108x^9+522x^10+666x^11+1504x^12+2328x^13+3536x^14+5338x^15+6271x^16+7976x^17+8052x^18+7892x^19+7096x^20+5312x^21+3968x^22+2404x^23+1377x^24+652x^25+306x^26+82x^27+24x^28+8x^29+2x^31

The gray image is a code over GF(2) with n=36, k=16 and d=8.
This code was found by Heurico 1.10 in 7.38 seconds.