The generator matrix

 1  1  1  1  1  1  1  1  2  8  1  2  2  1  1  1  1
 0  2  0  6  0  6 12 14  6  2  4  6 14  0  4 12  0
 0  0 12  0  0  4 12  4  0  0 12  4  4 12  8  0  0
 0  0  0 12 12  4 12  0  0  4  0  4  0 12 12  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  0  8  0  0  8  8  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  0  8  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  8  0  8  8  8  0  8  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+72x^10+60x^11+343x^12+340x^13+1336x^14+1708x^15+8457x^16+8036x^17+8520x^18+1780x^19+1382x^20+316x^21+296x^22+36x^23+54x^24+12x^25+16x^26+3x^28

The gray image is a code over GF(2) with n=136, k=15 and d=40.
This code was found by Heurico 1.16 in 1.58 seconds.