The generator matrix

 1  0  1  1  1  6  1  1  1  1  8 14
 0  1 11  6 13  1  8  3 14  5  1  1
 0  0 12  0  4  0  4  8  4  8  4 12
 0  0  0  8  8  8  0  8  0  8  0  0

generates a code of length 12 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+246x^10+384x^11+796x^12+384x^13+228x^14+3x^16+6x^18

The gray image is a code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.16 in 0.33 seconds.