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

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

Homogenous weight enumerator: w(x)=1x^0+81x^32+114x^33+180x^34+296x^35+193x^36+92x^37+33x^38+8x^39+12x^40+2x^41+10x^42+1x^44+1x^62

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 0.0386 seconds.