The generator matrix

 1  1  1  1  1  2  1  2  1  1  2  0  1  1
 0  2  0  2  0  4 10  6 12  0  2  2  2  0
 0  0  2  2  0  2  6  4  2  0  6  4 14  0
 0  0  0  4  0  0  4  8 12 12 12  4  4  0
 0  0  0  0 12  0  4 12  8  4  8  0  0  0
 0  0  0  0  0  8  8  8  8  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^8+180x^9+480x^10+1008x^11+2326x^12+8036x^13+8548x^14+8032x^15+2423x^16+988x^17+440x^18+176x^19+50x^20+12x^21+4x^22+2x^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 1.16 seconds.