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  1  1  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  8  4  0 12  8  4  0 12  8  4  8  4  8  4  0 12  8  4  8  4  8  4  0  0  0
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0  8  8  8  8  0  0  0  8  8  8  8  0  0  0  0  0  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  0  0  0  8  8  0  8  0  8  8  0  8  0  0  0  0  0
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  0  8  8  0  8  0  8  0  0  0  8  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+31x^32+448x^35+31x^38+1x^70

The gray image is a code over GF(2) with n=280, k=9 and d=128.
This code was found by Heurico 1.16 in 0.0238 seconds.