The generator matrix

 1  1  1  1  1  1  1  1  2  1  1  1  1  1
 0 12  0  0  0  0  0  0 12  8 12  8 12  4
 0  0 12  0  0  8 12 12  4 12  0  8 12  4
 0  0  0 12  0 12 12  4  8  0  4  4  0  4
 0  0  0  0 12  4  8  4  4  4  4  0 12 12

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

Homogenous weight enumerator: w(x)=1x^0+36x^9+68x^10+86x^11+121x^12+388x^13+2694x^14+388x^15+125x^16+100x^17+53x^18+22x^19+9x^20+4x^21+1x^26

The gray image is a code over GF(2) with n=112, k=12 and d=36.
This code was found by Heurico 1.16 in 0.0409 seconds.