The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^12+88x^13+260x^14+64x^15+28x^16+8x^17+12x^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 0.002 seconds.