The generator matrix

 1  0  0  0  1  1  1 10 14  1  1  1  1  1  1  6  1
 0  1  0  0  4  9 13  1  1 14 15 13  0 11 10  4  5
 0  0  1  0  5  1  4  5  8  2 13  6 15 12 15 14 11
 0  0  0  1  1  4  5  5 11  5 11  2  6 10  7  1  1

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

Homogenous weight enumerator: w(x)=1x^0+602x^13+2141x^14+6730x^15+13641x^16+19024x^17+14164x^18+6688x^19+1864x^20+614x^21+53x^22+6x^23+6x^24+2x^26

The gray image is a code over GF(2) with n=136, k=16 and d=52.
This code was found by Heurico 1.16 in 7.37 seconds.