The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+122x^9+350x^10+552x^11+1016x^12+1728x^13+2488x^14+3568x^15+4374x^16+4468x^17+4244x^18+3504x^19+2536x^20+1776x^21+1080x^22+560x^23+264x^24+98x^25+30x^26+8x^27+1x^32

The gray image is a code over GF(2) with n=34, k=15 and d=9.
This code was found by Heurico 1.10 in 30.9 seconds.