The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  1  2
 0 12  0 12  0 12  8  4  0  0  0 12 12  8
 0  0  8  0  0  0  8  0  0  0  8  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  8  0  0
 0  0  0  0  8  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+29x^10+67x^12+64x^13+711x^14+64x^15+54x^16+27x^18+5x^20+1x^22+1x^24

The gray image is a code over GF(2) with n=112, k=10 and d=40.
This code was found by Heurico 1.16 in 0.00602 seconds.