The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+56x^8+150x^9+242x^10+438x^11+822x^12+1446x^13+10018x^14+1494x^15+871x^16+434x^17+230x^18+114x^19+42x^20+18x^21+6x^22+2x^23

The gray image is a code over GF(2) with n=112, k=14 and d=32.
This code was found by Heurico 1.16 in 0.447 seconds.