The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  2  1
 0  1 11  6 13  1 12  3  1  8  7  8  3
 0  0 12  0  4  8  8  0  4  4 12  4  8
 0  0  0  8  8  8  0  0  0  8  8  0  8

generates a code of length 13 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+45x^10+172x^11+500x^12+628x^13+498x^14+148x^15+35x^16+12x^17+9x^18

The gray image is a code over GF(2) with n=104, k=11 and d=40.
This code was found by Heurico 1.16 in 0.00773 seconds.