The generator matrix

 1  0  1  1  1 14  1  1  6  1  1  1  1  1  1  1
 0  1 11 14  5  1  0  3  1  6  4 13  3 14  8  0
 0  0 12  4  0  4 12  0  8  0  4  4  0  4  4  0
 0  0  0  8  0  0  0  8  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  8  0  8  8  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  8  0  8  8  8  0
 0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^10+48x^11+186x^12+476x^13+1252x^14+3572x^15+5259x^16+3576x^17+1248x^18+472x^19+182x^20+44x^21+28x^22+4x^23+4x^24+2x^26

The gray image is a code over GF(2) with n=128, k=14 and d=40.
This code was found by Heurico 1.16 in 0.389 seconds.