The generator matrix

 1  0  0  1  1  1 14  1  1  1  1 14  8  1
 0  1  0  1  6 15  1  1 12  5  6  1  1 10
 0  0  1  1 11  2  3  1  2  0  3  0  6  1
 0  0  0 12  0  0  0  0  4 12  8 12  8 12
 0  0  0  0 12  4  4  8  0 12  8  0  4  8

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

Homogenous weight enumerator: w(x)=1x^0+58x^9+357x^10+1496x^11+5452x^12+14780x^13+21159x^14+14922x^15+5443x^16+1474x^17+339x^18+28x^19+16x^20+8x^21+1x^22+2x^23

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 3.56 seconds.