The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+75x^12+8x^13+252x^14+128x^15+450x^16+2288x^17+442x^18+128x^19+229x^20+8x^21+72x^22+13x^24+2x^26

The gray image is a code over GF(2) with n=136, k=12 and d=48.
This code was found by Heurico 1.16 in 0.0652 seconds.