The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+48x^12+150x^13+300x^14+710x^15+1717x^16+2364x^17+1688x^18+748x^19+272x^20+110x^21+60x^22+14x^23+10x^24

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 0.247 seconds.