The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+127x^24+108x^26+128x^27+733x^28+896x^29+1464x^30+4480x^31+4794x^32+7424x^33+4560x^34+4480x^35+1706x^36+896x^37+520x^38+128x^39+270x^40+4x^42+41x^44+7x^48+1x^56

The gray image is a code over GF(2) with n=264, k=15 and d=96.
This code was found by Heurico 1.16 in 7.56 seconds.