The generator matrix

 1  1  1  1  1  1  1  1  2  2  2  2  8  1
 0 12  0 12  8  4  8  4 12 12  0  0  8  0
 0  0  8  8  8  8  0  0  0  8  8  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+5x^12+58x^13+7x^14+44x^15+2x^16+10x^17+1x^18

The gray image is a code over GF(2) with n=112, k=7 and d=48.
This code was found by Heurico 1.16 in 0.00148 seconds.