The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1 12  1  2  1  1  1  0  1  2  1  2  1  1 12
 0  2  0  2  8  0 10  2  4  6  4  6 12  6  4 14  2  0  8  2 14  2  0 12  0  2  2 12  2 10  6  8  2
 0  0  2  2  4  6  6  4  4  8  2 10  0 12  6 14  2  8 10 14  6 10  2  6 12  8  6 10  2  8  0 12  0
 0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  0  8  8  0  0  0  8  0  0  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+301x^30+116x^31+516x^32+284x^33+468x^34+108x^35+157x^36+4x^37+77x^38+13x^40+2x^42+1x^52

The gray image is a code over GF(2) with n=264, k=11 and d=120.
This code was found by Heurico 1.16 in 35.4 seconds.