The generator matrix

 1  1  1  1  1  1  1  1  1  2  2  1  2  1
 0 12  0  0  0  4 12 12  8  8  8  0 12  0
 0  0 12  0  4  4  4  0  8  0  8 12  4 12
 0  0  0 12  4  8  4  4  0  4 12 12 12  0
 0  0  0  0  8  8  0  8  8  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+42x^10+82x^11+76x^12+194x^13+1286x^14+156x^15+99x^16+60x^17+30x^18+18x^19+2x^21+2x^22

The gray image is a code over GF(2) with n=112, k=11 and d=40.
This code was found by Heurico 1.16 in 0.0145 seconds.