The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^9+445x^10+1100x^11+3102x^12+7000x^13+9272x^14+7000x^15+3151x^16+1100x^17+394x^18+92x^19+18x^20+1x^26

The gray image is a code over GF(2) with n=112, k=15 and d=36.
This code was found by Heurico 1.16 in 6.54 seconds.