The generator matrix

 1  0  0  1  1  1 10  1  1  1  1  4  1  4  1  1  1
 0  1  0  2  5 15  1 12  1  5  6  1  6  8  7  7  2
 0  0  1  1  3  2  1  2  5  4  5  9 12  1 12 12  1
 0  0  0  4  8 12 12  4  4 12  8  0  0 12 12  8  0

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

Homogenous weight enumerator: w(x)=1x^0+108x^13+640x^14+1408x^15+3832x^16+4424x^17+3880x^18+1352x^19+574x^20+124x^21+32x^22+8x^23+1x^24

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 0.484 seconds.