The generator matrix

 1  0  1  1  1  6  1  1 12  1  1  0  1  1
 0  1  3  6  5  1 12 15  1  0  3  1  0  0
 0  0  8  0  0  0  0  0  8  0  8  8  0  0
 0  0  0  8  0  0  0  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  8  8  0  0  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  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+26x^8+32x^9+176x^10+128x^11+549x^12+2144x^13+2080x^14+2144x^15+549x^16+128x^17+176x^18+32x^19+26x^20+1x^28

The gray image is a code over GF(2) with n=112, k=13 and d=32.
This code was found by Heurico 1.16 in 0.0357 seconds.