The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2 12  2  1  1  0  2 12  1  1  1  1  1  1  2  2  2  1  1
 0  2 12  6  0  6 12 10  0  6  6  2 12 10 10  2  6  0 12  2 10  2  6 10  0  6 12 10  6  6 12  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  8  8  8  0  0  8  0  0  8  0  8  0  0
 0  0  0  8  0  0  0  0  0  8  0  8  0  8  0  8  0  0  0  0  0  8  8  8  8  0  8  8  8  0  0  0  0
 0  0  0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  8  0  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  8  0  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  8  8  0  0  8  0  8  8  0  0
 0  0  0  0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  0  8  0  8  8  8  8  0  0  0  8  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+79x^24+124x^26+48x^27+376x^28+480x^29+600x^30+3024x^31+922x^32+5184x^33+752x^34+3024x^35+720x^36+480x^37+296x^38+48x^39+161x^40+20x^42+40x^44+5x^48

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 2.01 seconds.