The generator matrix

 1  0  0  1  1  1  6  1  1  4  1  0  4  1  6 12  1
 0  1  0  1  6  7  1  0  1  1 13  1  2  2  6  0  0
 0  0  1  1  3  2  3  6  7  2  2  3  1  7  1  1  0
 0  0  0  8  0  0  8  0  0  8  0  8  0  8  8  0  0
 0  0  0  0  8  0  8  8  0  0  8  0  8  8  0  0  0
 0  0  0  0  0  8  8  0  0  8  8  0  8  0  8  0  0

generates a code of length 17 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+121x^12+324x^13+1165x^14+3362x^15+6396x^16+10042x^17+6395x^18+3356x^19+1159x^20+320x^21+115x^22+2x^23+3x^24+2x^25+5x^26

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 1.29 seconds.