The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+93x^10+174x^11+252x^12+468x^13+940x^14+1732x^15+2829x^16+19764x^17+2782x^18+1840x^19+940x^20+476x^21+268x^22+92x^23+74x^24+28x^25+13x^26+2x^27

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 2.02 seconds.