The generator matrix

 1  1  1  1  1  1  2  1  1  2  2  1  2  1
 0  2  0  6  0  6  6 12 14 14  6  6  8  0
 0  0 12  0  0  4  0 12  4  0  8 12  0 12
 0  0  0 12 12  4  0 12  0  4  8  4  4 12
 0  0  0  0  8  0  0  0  0  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  8  0  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  8  8  8
 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+126x^8+16x^9+492x^10+1008x^11+2744x^12+4000x^13+15788x^14+4320x^15+2773x^16+848x^17+484x^18+48x^19+112x^20+4x^22+4x^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 0.809 seconds.