The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  2  1  1  1
 0 12  0  4  0  0  4 12  0  4 12  8  4 12  0  0  0
 0  0 12  4  0 12  4  0 12  4  0  4 12  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  8  0  0  8  8  0  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  0  0
 0  0  0  0  0  0  0  0  8  0  8  8  0  8  0  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+71x^8+160x^10+32x^11+256x^12+384x^13+342x^14+1248x^15+199x^16+11008x^17+184x^18+1248x^19+336x^20+384x^21+276x^22+32x^23+161x^24+56x^26+6x^30

The gray image is a code over GF(2) with n=136, k=14 and d=32.
This code was found by Heurico 1.16 in 0.227 seconds.