The generator matrix

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

generates a code of length 16 over Z16 who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+63x^8+120x^10+550x^12+256x^13+1288x^14+3840x^15+4143x^16+3840x^17+1288x^18+256x^19+564x^20+120x^22+49x^24+6x^28

The gray image is a code over GF(2) with n=128, k=14 and d=32.
This code was found by Heurico 1.16 in 0.166 seconds.