The generator matrix

 1  0  1  1  1  6  1  1  8  1  1  1  1  0
 0  1 11  6  5  1  0 11  1 14  8  6 13  1
 0  0 12  0  0  4  4  8  4 12  0  4  8  8
 0  0  0 12  0  4  4  4  0  8 12 12 12  0
 0  0  0  0  8  0  8  8  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  8  8  8  0  8  8

generates a code of length 14 over Z16 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+32x^9+91x^10+356x^11+1244x^12+3696x^13+5524x^14+3736x^15+1243x^16+336x^17+80x^18+36x^19+8x^20+1x^26

The gray image is a code over GF(2) with n=112, k=14 and d=36.
This code was found by Heurico 1.16 in 7.04 seconds.