The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+80x^8+144x^9+342x^10+656x^11+2350x^12+7408x^13+10822x^14+7328x^15+2383x^16+752x^17+338x^18+80x^19+50x^20+16x^21+18x^22

The gray image is a code over GF(2) with n=112, k=15 and d=32.
This code was found by Heurico 1.16 in 1.4 seconds.