The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+121x^24+8x^26+277x^28+168x^30+508x^32+6144x^33+280x^34+407x^36+56x^38+167x^40+51x^44+3x^48+1x^52

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 0.772 seconds.