The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^12+128x^13+384x^14+128x^15+175x^16+10x^20

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 3.53 seconds.