The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+34x^9+75x^10+228x^11+705x^12+1022x^13+4075x^14+1016x^15+698x^16+222x^17+73x^18+36x^19+3x^20+2x^21+1x^22+1x^24

The gray image is a code over GF(2) with n=112, k=13 and d=36.
This code was found by Heurico 1.16 in 0.124 seconds.