The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+61x^8+74x^9+113x^10+268x^11+219x^12+2286x^13+2297x^14+2056x^15+190x^16+390x^17+139x^18+44x^19+41x^20+2x^21+11x^22

The gray image is a code over GF(2) with n=112, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0728 seconds.