The generator matrix

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

generates a code of length 14 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+91x^10+96x^11+321x^12+792x^13+1486x^14+824x^15+309x^16+72x^17+87x^18+8x^19+9x^20

The gray image is a code over GF(2) with n=112, k=12 and d=40.
This code was found by Heurico 1.16 in 0.0988 seconds.