The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  2  4  2  0  2  1  1  1  1  4  4  4  4  2  1  1
 0 12  0 12  0 12  0 12  0  4  8 12 12 12  0  0  8 12 12 12  4 12 12  4 12  0 12 12 12  0 12  0  0
 0  0  8  0  0  0  0  0  0  0  8  0  0  8  0  8  8  0  0  8  0  8  0  8  0  8  8  8  8  8  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  8  0  8  0  8  0  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  0  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  0  0
 0  0  0  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  0  0  8  0  8  8  0  0  0  0  0  8  8  8  8
 0  0  0  0  0  0  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  0  8  0  8  8  8  8  0  8  0  8  8

generates a code of length 33 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+66x^24+60x^26+32x^27+254x^28+320x^29+224x^30+992x^31+1473x^32+1408x^33+1368x^34+992x^35+348x^36+320x^37+128x^38+32x^39+122x^40+12x^42+38x^44+2x^48

The gray image is a code over GF(2) with n=264, k=13 and d=96.
This code was found by Heurico 1.16 in 0.683 seconds.