The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  2  1
 0  2  0  0  4 14 10 10  4  0  2  0 10  0
 0  0  2  0  6 14 14  4  0  2  2  0  0  8
 0  0  0  2  2 12 14  2  2  2  0  6  6  8
 0  0  0  0  8  0  0  8  0  0  8  8  0  0
 0  0  0  0  0  8  0  8  0  8  8  8  8  8
 0  0  0  0  0  0  8  8  8  0  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+51x^8+244x^9+769x^10+2064x^11+6637x^12+12092x^13+21973x^14+11872x^15+6584x^16+2188x^17+803x^18+208x^19+39x^20+4x^21+7x^22

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 3.14 seconds.