The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+94x^10+170x^11+320x^12+504x^13+872x^14+1328x^15+1750x^16+2040x^17+2148x^18+2228x^19+1688x^20+1192x^21+904x^22+608x^23+328x^24+104x^25+78x^26+18x^27+8x^28+1x^32

The gray image is a code over GF(2) with n=36, k=14 and d=10.
This code was found by Heurico 1.10 in 1.22 seconds.