The generator matrix

 1  1  1  1  2  1  1  1  1  2  8  1
 0  2  0  6  2  0  6 12 14 14  2  0
 0  0 12  0  0  0  4  4  4  0  8  0
 0  0  0 12  0 12  4 12  0  0  8  0
 0  0  0  0  4  0  0  8  8  4  4  0
 0  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^6+168x^7+367x^8+584x^9+1524x^10+10512x^11+6304x^12+10512x^13+1524x^14+584x^15+367x^16+168x^17+76x^18+1x^24

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 0.468 seconds.