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  2  2  2  2  2  1  1  1  2  1
 0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  0
 0  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  0  0  8  0  0  8  0  0  0  8  8  0
 0  0  0  8  0  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  8  8  8  0  8  8  8  8  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  0  8  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  8  8  0  8  0  8  8  8  0  0  8  8  8  8  0  8  0  0  8  0
 0  0  0  0  0  0  8  0  0  8  0  0  8  0  0  8  8  8  0  8  8  0  8  8  8  0  0  8  8  0  0  8  0
 0  0  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  8  8  8  0  0  0
 0  0  0  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  0  0  0  0  0  8  8  8  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+44x^24+29x^26+8x^27+77x^28+48x^29+57x^30+120x^31+63x^32+3232x^33+54x^34+120x^35+38x^36+48x^37+67x^38+8x^39+28x^40+37x^42+5x^44+11x^46+1x^54

The gray image is a code over GF(2) with n=264, k=12 and d=96.
This code was found by Heurico 1.16 in 0.208 seconds.