The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^12+148x^13+242x^14+858x^15+1367x^16+2842x^17+1390x^18+892x^19+242x^20+112x^21+30x^22+10x^23+8x^24+2x^25+2x^26

The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 0.155 seconds.