The generator matrix

 1  0  1  1  1  6  1  1  1  1 12  6
 0  1  3  6  5  1 12 15 10  9  1  1
 0  0  8  0  8  0  0  8  8  0  0  8
 0  0  0  8  8  8  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+82x^10+320x^11+220x^12+320x^13+76x^14+3x^16+2x^18

The gray image is a code over GF(2) with n=96, k=10 and d=40.
This code was found by Heurico 1.16 in 0.0074 seconds.