The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  1  1
 0  1  3  6  5  1 12 15  1  0 10  5  3
 0  0  8  0  0  8  8  0  0  8  0  8  0
 0  0  0  8  0  8  8  8  8  0  0  0  0
 0  0  0  0  8  8  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+40x^10+144x^11+569x^12+544x^13+565x^14+144x^15+37x^16+2x^18+1x^20+1x^22

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 0.00827 seconds.