The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  1  1  8  1
 0  2 12  6  0  6 12 10  0  6 10 12 14  0 10 12  8  6  4 10  6  0 10 12  0  6 12 10  8  8  4 14  2  8  0
 0  0  8  0  0  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  8  8  8  0  8  0  0  0  0  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  8  8  0  0  0  8  0  8  8  8  0  8  8  0  8
 0  0  0  0  8  8  8  8  8  0  8  0  8  0  0  8  0  0  0  8  8  8  8  0  8  8  8  0  0  0  8  0  0  0  8

generates a code of length 35 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+39x^32+296x^33+39x^34+368x^35+20x^36+200x^37+12x^38+4x^40+32x^41+12x^42+1x^66

The gray image is a code over GF(2) with n=280, k=10 and d=128.
This code was found by Heurico 1.16 in 0.0318 seconds.