The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+75x^10+192x^11+313x^12+372x^13+617x^14+924x^15+1045x^16+1060x^17+1042x^18+1036x^19+614x^20+348x^21+310x^22+148x^23+74x^24+12x^25+3x^26+4x^27+1x^28+1x^30

The gray image is a code over GF(2) with n=34, k=13 and d=10.
This code was found by Heurico 1.10 in 0.312 seconds.