The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+204x^13+581x^14+1482x^15+3612x^16+4592x^17+3730x^18+1436x^19+494x^20+212x^21+25x^22+10x^23+5x^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 0.61 seconds.