The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  2  2  1
 0 12  0  0  0  4 12  4  0  8  0  4  8  8
 0  0 12  0  4  4  4  8  0  0 12 12  0  4
 0  0  0 12  4  0  4  4  8  4  8  0  4  0
 0  0  0  0  8  0  0  8  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  8  8  0  8

generates a code of length 14 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+32x^9+79x^10+114x^11+228x^12+362x^13+2469x^14+372x^15+211x^16+116x^17+73x^18+26x^19+8x^20+2x^21+3x^22

The gray image is a code over GF(2) with n=112, k=12 and d=36.
This code was found by Heurico 1.16 in 0.394 seconds.