The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  4  4
 0  2 12  6  0  6 12 10  0  8  6 14 12 12
 0  0  8  0  0  8  8  8  8  8  0  8  8  0
 0  0  0  8  8  8  8  0  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+118x^12+276x^14+112x^16+4x^18+1x^24

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 0.00204 seconds.