The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+14x^12+32x^13+164x^14+32x^15+9x^16+3x^18+1x^26

The gray image is a code over GF(2) with n=112, k=8 and d=48.
This code was found by Heurico 1.16 in 0.00193 seconds.