The generator matrix

 1  0  1  1  1 14  1  1  2  8 14  8  1  1
 0  1 11 14  5  1  0  6 14  1  1  2  3  3
 0  0 12  4  0  4 12  0  4  4  4  4  0  0
 0  0  0  8  0  0  0  0  0  8  8  8  0  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  8  8  8  0  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  8
 0  0  0  0  0  0  0  8  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^8+414x^10+512x^11+2990x^12+7680x^13+9454x^14+7680x^15+3055x^16+512x^17+362x^18+50x^20+10x^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 0.509 seconds.