The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+272x^10+552x^11+1349x^12+3616x^13+4663x^14+3824x^15+1421x^16+416x^17+214x^18+40x^19+13x^20+3x^22

The gray image is a code over GF(2) with n=112, k=14 and d=40.
This code was found by Heurico 1.16 in 1.42 seconds.