The generator matrix

 1  0  0  1  1  1  2  0  1  1 14  1  4  1  1  1  1
 0  1  0  1  2  3  1  1  8  6  1 15 10  7  2 13  8
 0  0  1  1  1  4  7  2  6  3  1  7  1  0 12 12  1
 0  0  0  2  8 10  6 10 10  6  0 12 14 14  4  0 14

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

Homogenous weight enumerator: w(x)=1x^0+262x^13+1179x^14+3014x^15+7501x^16+8926x^17+7402x^18+3044x^19+1172x^20+234x^21+19x^22+6x^23+6x^24+2x^25

The gray image is a code over GF(2) with n=136, k=15 and d=52.
This code was found by Heurico 1.16 in 2.02 seconds.