The generator matrix

 1  0  1  1  1 14  1  1  2  1  1  6  1  1 12  1  8  1  1  1  1  1  1  1  1  1  1  1  6  2  1  1  8
 0  1 11  6  5  1  8  7  1  4  3  1 10  9  1 14  1 13 10  0 10  2 10  0  0  3  1  5  1 10 15  4  1
 0  0 12  0  8  4  4  4 12 12  8  0  0  8  0  4  4  4  8 12  0 12 12  8  0  8  4  0  8  4  0  4  4
 0  0  0  8  8  8  0  8  0  8  0  8  0  0  8  0  8  0  0  0  8  0  8  8  8  8  8  0  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+224x^30+216x^31+490x^32+232x^33+476x^34+168x^35+197x^36+24x^37+12x^38+6x^40+1x^44+1x^48

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 0.578 seconds.