The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  2  2  1  2
 0  8  0  0  0  0  0  0  0  0  8  8  8  0  8  0
 0  0  8  0  0  0  0  0  0  8  8  8  8  0  0  8
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8
 0  0  0  0  0  8  0  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  0  8  8  8  0  8
 0  0  0  0  0  0  0  8  8  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+24x^10+60x^12+104x^14+1677x^16+104x^18+44x^20+24x^22+10x^24

The gray image is a code over GF(2) with n=128, k=11 and d=40.
This code was found by Heurico 1.16 in 0.271 seconds.