The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  1  6  1  1  1  0  6  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6 12  5  1 10 15  9  1  1  0  6  8 14 12  4  3  5  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  0  0  8  8  8  8  8  0  8  8  0  0  0  0  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+69x^30+156x^31+217x^32+136x^33+217x^34+156x^35+70x^36+1x^46+1x^50

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 0.0241 seconds.