The generator matrix

 1  0  0  0  0  0  0  0  1  1  1  1  0  1  X  1  1  1  1  X  X  1  1  0  1  1  1  X  1  X  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  1 X+1 X+1 X+1  1  X  1  1  X  X  X  1  1  1  0  1  X  0
 0  0  1  0  0  0  0  0  0  0  1  1  X  1  1  0 X+1  0  X X+1  1 X+1  0  1  1  X  1 X+1  X  1  1 X+1  0
 0  0  0  1  0  0  0  0  1  0  0  1  1 X+1  X  1 X+1  X  X  0  1  X X+1  1  1  0  0  1  X  0  1  1  0
 0  0  0  0  1  0  0  0  1  X X+1  1  X  0  1 X+1 X+1  X X+1  1  0  X  1  X X+1  X  X  1  0  0  X  X  1
 0  0  0  0  0  1  0  0  1 X+1  0  X X+1  1 X+1  X X+1  X  0 X+1  0  X  1  X  0  0 X+1  X X+1  X  0  0  0
 0  0  0  0  0  0  1  0  X  1  X X+1  1  0  1  0  X X+1 X+1  0  0  0 X+1  X  X  1  X X+1  X X+1  0  0  0
 0  0  0  0  0  0  0  1  X  1 X+1  0  0  X X+1  1  1 X+1  0  0 X+1 X+1  X  0  X  1  0 X+1  0 X+1 X+1 X+1  0

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+56x^21+213x^22+388x^23+627x^24+980x^25+1490x^26+2158x^27+2995x^28+3772x^29+4693x^30+5846x^31+6177x^32+6302x^33+6380x^34+5800x^35+4966x^36+4028x^37+3039x^38+2092x^39+1467x^40+908x^41+530x^42+346x^43+151x^44+80x^45+39x^46+10x^47+2x^49

The gray image is a linear code over GF(2) with n=66, k=16 and d=21.
This code was found by Heurico 1.11 in 76 seconds.