The generator matrix

 1  1  1  1  1  1  1  1  2  2  1  1  4
 0 12  0  4  0  8  4 12  4 12 12  0 12
 0  0 12  4  0  4  4  4 12  8  0  8  8
 0  0  0  8  0  0  0  8  0  0  8  8  8
 0  0  0  0  8  8  0  8  8  0  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+59x^10+32x^11+273x^12+320x^13+246x^14+32x^15+45x^16+15x^18+1x^20

The gray image is a code over GF(2) with n=104, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0593 seconds.