The generator matrix

 1  0  1  1  1  4  1 10  1  0  4  2  2  1
 0  1  1  0 11  1 10  1  5  0 12 10 12  0
 0  0  2  6  4  6 14  6  4  2  4  2  2  0
 0  0  0 12  0  4  0  0  4  8  4 12  4  0
 0  0  0  0  8  0  0  8  8  0  8  8  8  0
 0  0  0  0  0  8  0  8  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  8  0  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+40x^8+120x^9+817x^10+2324x^11+7721x^12+12420x^13+18625x^14+12424x^15+7826x^16+2240x^17+779x^18+164x^19+27x^20+4x^21+3x^22+1x^24

The gray image is a code over GF(2) with n=112, k=16 and d=32.
This code was found by Heurico 1.16 in 2.24 seconds.