The generator matrix

 1  1  1  1  2  0  4  1  1  1  1  1
 0  2  0 14  6  2  0  4  8  4  8  0
 0  0 12  4  0 12  4  4  4  4  4  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  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+26x^6+20x^7+133x^8+136x^9+865x^10+1372x^11+3063x^12+1392x^13+881x^14+140x^15+126x^16+8x^17+19x^18+4x^19+5x^20+1x^22

The gray image is a code over GF(2) with n=96, k=13 and d=24.
This code was found by Heurico 1.16 in 0.0275 seconds.