The generator matrix

 1  0  1  1  1 14  1  1  1  1 12  8  2  0
 0  1 11 14  5  1  8  3  6 13  1  1  1  1
 0  0 12  4  8 12  4  8  0 12  0  4  4  4

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

Homogenous weight enumerator: w(x)=1x^0+114x^12+256x^13+288x^14+256x^15+103x^16+6x^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 0.00316 seconds.