The generator matrix

 1  0  0  1  1  1  2  1  1 12  1  1  1  1  1  6  1
 0  1  0  4  5  1  1  2  6  1  7  3 13 10  4  1  0
 0  0  1  7  3  4  1 10  5 10  1  6  1  8 13 14  8

generates a code of length 17 over Z16 who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+96x^14+536x^15+798x^16+1384x^17+618x^18+492x^19+136x^20+16x^21+14x^22+4x^23+1x^24

The gray image is a code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 0.0295 seconds.