The generator matrix

 1  1  1  1  1  1  2  2  1  1  4  4
 0 12  0  4  0  8  4 12  4 12  4 12
 0  0 12  4  0  4 12  8  0 12 12  8
 0  0  0  8  8  0  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+96x^10+64x^11+204x^12+64x^13+72x^14+3x^16+8x^18

The gray image is a code over GF(2) with n=96, k=9 and d=40.
This code was found by Heurico 1.16 in 0.202 seconds.