The generator matrix

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

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+54x^23+169x^24+314x^25+445x^26+610x^27+809x^28+954x^29+1088x^30+1298x^31+1511x^32+1604x^33+1580x^34+1478x^35+1308x^36+986x^37+738x^38+588x^39+375x^40+216x^41+103x^42+64x^43+51x^44+20x^45+14x^46+4x^47+2x^49

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 26 seconds.