The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+331x^32+176x^33+386x^34+288x^35+532x^36+48x^37+172x^38+95x^40+18x^42+1x^56

The gray image is a code over GF(2) with n=280, k=11 and d=128.
This code was found by Heurico 1.16 in 31.5 seconds.