The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+68x^8+306x^9+860x^10+2446x^11+6136x^12+11498x^13+22732x^14+11750x^15+6145x^16+2390x^17+852x^18+266x^19+64x^20+14x^21+4x^22+2x^23+2x^24

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 4.43 seconds.