The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+151x^24+116x^26+558x^28+1072x^30+1024x^31+4304x^32+2048x^33+4056x^34+1024x^35+1329x^36+368x^38+258x^40+20x^42+48x^44+5x^48+1x^52+1x^56

The gray image is a code over GF(2) with n=264, k=14 and d=96.
This code was found by Heurico 1.16 in 20.6 seconds.