The generator matrix

 1  1  1  1  1  1  1  1  2  8  4  0  1  1  4  1  1
 0  2  0  0  8 10  6  6  8  2  2  4 12  4  2  2  0
 0  0  2  0 10 10 10  8  2  4  0  2  6  6  4 12 14
 0  0  0  2  2  8 10  2  6  8  2  4 10  8 12 14  6

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

Homogenous weight enumerator: w(x)=1x^0+126x^13+442x^14+842x^15+1468x^16+2444x^17+1521x^18+788x^19+382x^20+150x^21+20x^22+2x^23+5x^24+1x^26

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 0.216 seconds.