The generator matrix

 1  0  1  1  1  6  1  8  1  1  1  1  1
 0  1 11  6 13  1  8  1 14  3 10  5 13
 0  0 12  0  4  8  4  4 12  8  0  0 12
 0  0  0  8  0  8  0  8  8  0  0  8  8
 0  0  0  0  8  0  0  8  8  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+107x^10+288x^11+993x^12+1344x^13+966x^14+288x^15+93x^16+15x^18+1x^20

The gray image is a code over GF(2) with n=104, k=12 and d=40.
This code was found by Heurico 1.16 in 1.73 seconds.