The generator matrix

 1  1  1  1  1  2  1  1  1  0  2  0  2
 0  2 12  6  0  6  6 12 10  2 10  2  0
 0  0  8  0  0  8  0  0  8  8  0  8  0
 0  0  0  8  0  8  0  8  0  8  0  8  8
 0  0  0  0  8  8  8  8  8  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^10+96x^11+222x^12+320x^13+208x^14+96x^15+31x^16+8x^18+2x^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 0.00356 seconds.