The generator matrix

 1  0  1  1  1 14  1  1  1  6  1  1  1  1
 0  1 11  6  5  1  0 11  2  1  6  3  7  0
 0  0 12  0  4  8  4  8  4  0  8  8  8  4
 0  0  0 12  4 12 12 12  8  0  0  8 12  4

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

Homogenous weight enumerator: w(x)=1x^0+19x^10+100x^11+302x^12+926x^13+1411x^14+932x^15+287x^16+80x^17+25x^18+8x^19+2x^20+2x^21+1x^22

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 0.0284 seconds.