The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+51x^10+42x^11+270x^12+304x^13+267x^14+36x^15+47x^16+1x^18+2x^19+2x^20+1x^22

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 0.00398 seconds.