The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+74x^23+160x^24+312x^25+459x^26+560x^27+783x^28+974x^29+1127x^30+1278x^31+1495x^32+1656x^33+1601x^34+1460x^35+1264x^36+1036x^37+780x^38+498x^39+342x^40+240x^41+115x^42+92x^43+49x^44+6x^45+13x^46+6x^47+2x^48+1x^50

The gray image is a linear code over GF(2) with n=66, k=14 and d=23.
This code was found by Heurico 1.16 in 25.3 seconds.