The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  1  1
 0  1  3  6  5  1 12  7  1  6  3  1  0  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8
 0  0  0  8  0  0  0  0  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8
 0  0  0  0  0  8  0  0  0  8  0  0  8  8
 0  0  0  0  0  0  8  0  0  8  0  8  0  8
 0  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  8

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

Homogenous weight enumerator: w(x)=1x^0+85x^8+176x^10+512x^11+2592x^12+7680x^13+10656x^14+7680x^15+2627x^16+512x^17+176x^18+64x^20+7x^24

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 0.386 seconds.