The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  2  2  1  2  4  1  2  2  4  2  4  8  0  2  4  8  2
 0  8  0  8  0  8  0  8  0  8  0  8  8  0  8  8  0  8  0  8  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0

generates a code of length 35 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+29x^36+2x^38

The gray image is a code over GF(2) with n=280, k=5 and d=144.
This code was found by Heurico 1.16 in 0.0169 seconds.