The generator matrix

 1  1  1  1  1  2  0  1  1  0  1  2  1  1
 0  2  0  2  0  2  2 12  2  0 14  4  4  8
 0  0  2  2  0  6  4  2  2  2  0  2  4  4
 0  0  0  4 12  0 12  4  8  0  4  0  8  0
 0  0  0  0  8  0  8  8  0  8  0  8  8  0
 0  0  0  0  0  8  8  0  0  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+70x^9+134x^10+656x^11+1126x^12+3878x^13+4662x^14+3888x^15+1103x^16+658x^17+130x^18+64x^19+10x^20+2x^21+2x^22

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 0.478 seconds.