The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+176x^10+788x^11+3106x^12+6104x^13+12392x^14+6176x^15+3087x^16+744x^17+168x^18+12x^19+14x^20

The gray image is a code over GF(2) with n=112, k=15 and d=40.
This code was found by Heurico 1.16 in 1.18 seconds.