The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+102x^12+64x^13+192x^14+64x^15+79x^16+10x^20

The gray image is a code over GF(2) with n=112, k=9 and d=48.
This code was found by Heurico 1.16 in 0.546 seconds.