The generator matrix

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

generates a code of length 17 over Z4 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+209x^8+160x^9+957x^10+844x^11+2732x^12+3276x^13+5462x^14+7428x^15+6971x^16+9420x^17+7134x^18+7260x^19+5384x^20+3396x^21+2768x^22+844x^23+947x^24+132x^25+189x^26+8x^27+12x^28+2x^30

The gray image is a code over GF(2) with n=34, k=16 and d=8.
This code was found by Heurico 1.10 in 7.59 seconds.