The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^10+128x^11+497x^12+640x^13+470x^14+128x^15+77x^16+15x^18+1x^20

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 0.0165 seconds.