The generator matrix

 1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1
 0 12  0 12  0 12  8 12 12  0  0  8  8 12  4  0  0
 0  0  8  0  0  0  8  0  0  8  0  0  8  8  8  8  8
 0  0  0  8  0  0  0  8  0  8  0  8  8  8  0  8  0
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  0  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+32x^13+16x^14+126x^16+704x^17+96x^18+32x^21+16x^22+1x^32

The gray image is a code over GF(2) with n=136, k=10 and d=52.
This code was found by Heurico 1.16 in 10.3 seconds.