The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  4  1
 0  1  0  0  4  5  1  1  2  2  1  6  1  0
 0  0  1  0  5  1  4  3  2  4  3 15 11  0
 0  0  0  1  1  2  3  1  1  5  7 10 12  0
 0  0  0  0  8  0  8  8  8  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+148x^9+1136x^10+3704x^11+11597x^12+29378x^13+39030x^14+29536x^15+11645x^16+3640x^17+1081x^18+152x^19+21x^20+2x^21+1x^26

The gray image is a code over GF(2) with n=112, k=17 and d=36.
This code was found by Heurico 1.16 in 16.5 seconds.