The generator matrix

 1  0  1  1  1 14  6  1  8  1  1  1  2  0
 0  1 11  6 13  1  1  7  1  5  8  4 14  2
 0  0 12  0  4  4  8 12 12  0  4 12  4  0
 0  0  0  8  0  0  8  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  8  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  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+97x^10+128x^11+898x^12+1664x^13+2624x^14+1664x^15+887x^16+128x^17+94x^18+6x^20+1x^26

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 0.113 seconds.