The generator matrix

 1  0  1  1  1 12  2  1  1  0  2  0  2  1
 0  1  1 12 11  1  2 10  6  2  4  0  0  0
 0  0  2  6  4  6  2  6  0  6  2  2  0  0
 0  0  0  8  0  0  0  8  0  0  8  8  0  0
 0  0  0  0  8  0  0  8  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^8+140x^9+381x^10+1472x^11+2702x^12+7596x^13+8076x^14+7616x^15+2715x^16+1476x^17+370x^18+128x^19+42x^20+4x^21+4x^22+1x^26

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 0.578 seconds.