The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^13+261x^14+846x^15+1612x^16+2694x^17+1578x^18+816x^19+238x^20+64x^21+17x^22+2x^23+5x^24+2x^25

The gray image is a code over GF(2) with n=136, k=13 and d=52.
This code was found by Heurico 1.16 in 0.168 seconds.