The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^10+66x^11+184x^12+452x^13+607x^14+440x^15+167x^16+60x^17+37x^18+6x^19+1x^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 0.0113 seconds.