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  4  1  1  1  1  1  1
 0 12  0 12  0 12  0 12  0 12  8  4  0 12  4  8  0 12  4  8  0  8 12  4  0  0  8  8  8 12 12  4  4
 0  0  8  0  0  0  8  0  0  0  8  0  0  8  8  8  8  0  0  0  0  8  8  8  0  8  0  8  0  8  8  8  8
 0  0  0  8  0  0  0  8  0  0  0  8  8  8  0  8  0  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  8
 0  0  0  0  8  0  8  0  0  8  0  8  8  8  8  0  8  8  8  8  8  0  0  0  0  8  0  8  0  0  8  0  8
 0  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  8  0  0  8  8  8  0  8  8  0  0  8  0  8  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+64x^30+254x^32+512x^33+128x^34+64x^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 0.0317 seconds.