The generator matrix

 1  0  1  1  1  4  1  1  1  6  2  1  4  4  8  1  1
 0  1  1  0 11  1  6 13 10  1  2 14  1  1  4  6  4
 0  0  2  6  0  2  0  8  6  4  2  0  2  4  0 12  2
 0  0  0 12  0  4  4  4  4  4  8  0  8 12  4  4  8
 0  0  0  0 12  4  4  8 12  8  0 12  8 12  0  8  8
 0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+56x^11+266x^12+854x^13+2391x^14+7372x^15+12620x^16+18198x^17+12877x^18+7504x^19+2317x^20+754x^21+217x^22+76x^23+27x^24+2x^25+3x^26+1x^28

The gray image is a code over GF(2) with n=136, k=16 and d=44.
This code was found by Heurico 1.16 in 5.73 seconds.