The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  4  1
 0  2 12  6  0  6 12 10  8 14  4 10 12  0
 0  0  8  8  8  0  0  8  8  8  0  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+11x^12+82x^13+71x^14+76x^15+12x^16+2x^17+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 0.00177 seconds.