The generator matrix

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

generates a code of length 33 over Z2[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+80x^24+152x^25+261x^26+326x^27+382x^28+488x^29+572x^30+656x^31+764x^32+764x^33+707x^34+774x^35+619x^36+540x^37+425x^38+272x^39+181x^40+92x^41+76x^42+18x^43+19x^44+12x^45+7x^46+2x^48+2x^51

The gray image is a linear code over GF(2) with n=66, k=13 and d=24.
This code was found by Heurico 1.16 in 3.55 seconds.