The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  4  1
 0  2  0  2  0  4 10  6  4  6  4  0  2  4
 0  0  2  2  0  2  6  4  2  4  2 12  6  4
 0  0  0  4  0  4 12  8 12 12  0 12  4 12
 0  0  0  0 12 12 12  4  0  8  0  8  0  4

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

Homogenous weight enumerator: w(x)=1x^0+50x^9+218x^10+558x^11+817x^12+4234x^13+4561x^14+4308x^15+885x^16+526x^17+148x^18+46x^19+25x^20+6x^21+1x^22

The gray image is a code over GF(2) with n=112, k=14 and d=36.
This code was found by Heurico 1.16 in 9.45 seconds.