The generator matrix

 1  1  1  1  1  2  1  0  1  1  2  0  2  2  1  1
 0  2 12  6  0  6  6  2 12 10 10  2  6  6  6  6
 0  0  8  0  0  0  0  0  0  0  8  8  0  8  0  8
 0  0  0  8  0  0  0  0  0  8  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  0  8  8  0  0  8
 0  0  0  0  0  8  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  0  8  0  8
 0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8

generates a code of length 16 over Z16 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+32x^10+172x^12+128x^13+1248x^14+896x^15+3245x^16+896x^17+1248x^18+128x^19+156x^20+32x^22+10x^24

The gray image is a code over GF(2) with n=128, k=13 and d=40.
This code was found by Heurico 1.16 in 1.18 seconds.