The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  0  1  1  6  1 12 10  1  1  1  0  0  6  1  1  1  1  1  1
 0  1  3  6  5  1 12  7  1 10  9  1  0  3  1  6  5  1 15  1  1 12 10  9  1  1  1  0  3  5  0  0  0
 0  0  8  0  0  0  0  0  0  0  0  0  8  0  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  0  0  0  0
 0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  8  8  0  8  0  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  0  8  0  8  8  0  8  0  8  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  8  0  8  0  8  0  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  0  8  8  8  0  8  8  0  0  8  8  8  0  8  0  8  8  0  0  0
 0  0  0  0  0  0  0  8  0  0  8  0  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  8  8  0  8  8  0
 0  0  0  0  0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  8  0  8  0  0  8  0  8  8  0
 0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  8  0  0  8  8  8  0  8  0  8  0  8  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^22+4x^23+69x^24+68x^25+119x^26+500x^27+380x^28+1264x^29+2760x^30+10760x^31+6871x^32+19864x^33+6883x^34+10760x^35+2784x^36+1264x^37+382x^38+500x^39+110x^40+68x^41+53x^42+4x^43+20x^44+12x^46+4x^48+1x^50+1x^56

The gray image is a code over GF(2) with n=264, k=16 and d=88.
This code was found by Heurico 1.16 in 14.9 seconds.