The generator matrix

 1  0  1  1  1 12  2  1  1  4  0  2  1  1
 0  1  1 12 11  1  2 10  6  1  1  4  3  3
 0  0  2  6  4  6  2 14  0  2  6  2  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  0  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  0  0  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+48x^8+64x^9+510x^10+1792x^11+6830x^12+10432x^13+26158x^14+10432x^15+6895x^16+1792x^17+458x^18+64x^19+50x^20+10x^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 1.73 seconds.