The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  2  4  1
 0  2  0  0  0  8  8  4 12 10 14 14  4 14
 0  0  2  0  0 12  6  6 14  2  6 12  2 14
 0  0  0  2  0  6  6 14  8  0  4 10  6 12
 0  0  0  0  2  2  4  2  6  4 14  4 14 10

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

Homogenous weight enumerator: w(x)=1x^0+222x^9+844x^10+2012x^11+4551x^12+14324x^13+21413x^14+14560x^15+4705x^16+1966x^17+686x^18+180x^19+55x^20+16x^21+1x^22

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 6.09 seconds.