The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^12+32x^13+60x^14+128x^15+417x^16+704x^17+419x^18+128x^19+52x^20+32x^21+31x^22+6x^24+1x^26+1x^30

The gray image is a code over GF(2) with n=136, k=11 and d=48.
This code was found by Heurico 1.16 in 0.017 seconds.