The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^6+72x^7+196x^8+408x^9+990x^10+3664x^11+5754x^12+3504x^13+1012x^14+488x^15+187x^16+56x^17+18x^18+6x^20+1x^22

The gray image is a code over GF(2) with n=96, k=14 and d=24.
This code was found by Heurico 1.16 in 0.147 seconds.