The generator matrix

 1  0  0  1  1  1 10  1  1  4  1  6  1 12  1  1  1
 0  1  0  4  5 11  1  2  7  1 14  1 10  6  3 13  6
 0  0  1  7  3  4  5  2  1  1  7  0  6  1  0  7  5
 0  0  0  8  0  0  8  0  0  8  0  8  8  8  8  8  0
 0  0  0  0  8  8  0  8  0  8  0  8  8  0  0  8  8

generates a code of length 17 over Z16 who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+116x^13+553x^14+1820x^15+2854x^16+5740x^17+2822x^18+1808x^19+534x^20+108x^21+17x^22+4x^23+3x^24+4x^25

The gray image is a code over GF(2) with n=136, k=14 and d=52.
This code was found by Heurico 1.16 in 0.417 seconds.