The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+183x^12+64x^13+544x^14+64x^15+150x^16+16x^18+1x^20+1x^24

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.00491 seconds.