The generator matrix

 1  0  1  1  1 14  1  1  1  8  1  1  1  6
 0  1 11  6  5  1  7  9  8  1 13 14  1  1
 0  0 12  0  8 12  4  8 12  4  4  4 12  0
 0  0  0  8  8  0  8  0  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+294x^12+384x^13+704x^14+384x^15+271x^16+10x^20

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.019 seconds.