The generator matrix

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

generates a code of length 33 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+69x^22+135x^24+180x^26+331x^28+549x^30+762x^32+12288x^33+779x^34+581x^36+359x^38+185x^40+95x^42+45x^44+15x^46+5x^48+1x^50+3x^52+1x^58

The gray image is a code over GF(2) with n=264, k=14 and d=88.
This code was found by Heurico 1.16 in 7.73 seconds.