The generator matrix

 1  0  1  1  1  4  1  1  1  2  1  1  1
 0  1  1  4 11  1  7 14  9  6  1  6  7
 0  0  2  2  4  2 10  4 14  6 12  0  4
 0  0  0  8  0  8  0  8  8  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+91x^10+460x^11+681x^12+1652x^13+678x^14+436x^15+69x^16+12x^17+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 0.0273 seconds.