The generator matrix

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

generates a code of length 12 over Z16 who´s minimum homogenous weight is 6.

Homogenous weight enumerator: w(x)=1x^0+152x^6+714x^8+2400x^10+2048x^11+22128x^12+2048x^13+2424x^14+701x^16+144x^18+8x^20

The gray image is a code over GF(2) with n=96, k=15 and d=24.
This code was found by Heurico 1.16 in 0.624 seconds.