The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^6+116x^7+303x^8+736x^9+1515x^10+8380x^11+10625x^12+8320x^13+1469x^14+780x^15+332x^16+96x^17+41x^18+4x^19+3x^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 0.566 seconds.