The generator matrix

 1  0  1  1  1  2  1  1  6  1 10  1  1  2
 0  1  1  0  3  1 12 11  1  0  1 12 15  2
 0  0  2  0  6  0  2  4  6  2  2  0  8  6
 0  0  0  2  6  2  4  0  6  2  4 14 14  2
 0  0  0  0  8  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  8  8  8  8  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+92x^9+477x^10+1708x^11+5470x^12+14072x^13+21880x^14+14072x^15+5519x^16+1708x^17+426x^18+92x^19+18x^20+1x^26

The gray image is a code over GF(2) with n=112, k=16 and d=36.
This code was found by Heurico 1.16 in 3.97 seconds.