The generator matrix

 1  0  1  1  1 14  4  1  1  1  1  1
 0  1 11 14  5  1  0  4  8 14  8  0
 0  0 12  4  0  4  4  4  4  4  4  0
 0  0  0  8  0  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  8  8  0
 0  0  0  0  0  0  8  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+25x^6+52x^7+134x^8+424x^9+1508x^10+3100x^11+5876x^12+3120x^13+1518x^14+428x^15+129x^16+40x^17+20x^18+4x^19+4x^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 0.0743 seconds.