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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+72x^30+494x^32+384x^34+16x^36+56x^38+1x^64

The gray image is a code over GF(2) with n=264, k=10 and d=120.
This code was found by Heurico 1.16 in 0.0471 seconds.