The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+99x^10+294x^11+632x^12+1730x^13+2635x^14+1828x^15+627x^16+220x^17+97x^18+22x^19+4x^20+2x^21+1x^22

The gray image is a code over GF(2) with n=112, k=13 and d=40.
This code was found by Heurico 1.16 in 0.183 seconds.