The generator matrix

1 0 0 0 0 0 0 1 1 1 1 X 1 1 0 1 0 X X X 0 0 0 1 X X 1 1 1 1 1 1 1
0 1 0 0 0 0 0 0 0 0 0 0 0 X 1 X+1 1 1 X 1 1 1 1 1 X 0 0 X+1 X X+1 0 1 X
0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 X X+1 1 X 1 0 1 X+1 0 X X+1 X X 0 1 X X
0 0 0 1 0 0 0 1 0 X X+1 1 X 0 0 X+1 X 0 1 X+1 1 1 0 X X 1 1 X X+1 X+1 X+1 X 0
0 0 0 0 1 0 0 1 X X+1 X 1 0 0 X 1 1 X+1 X X X 1 1 1 1 X+1 0 0 X 0 1 1 0
0 0 0 0 0 1 0 1 X+1 0 X X+1 X 1 1 1 0 1 1 1 X 1 X+1 X X+1 X 0 X X 1 X+1 0 X+1
0 0 0 0 0 0 1 X 1 X+1 X+1 X+1 1 X 1 0 1 X X X+1 X 0 X+1 0 X X+1 X X+1 X+1 X 0 0 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+64x^23+157x^24+324x^25+506x^26+508x^27+738x^28+952x^29+1198x^30+1372x^31+1497x^32+1640x^33+1486x^34+1486x^35+1227x^36+1036x^37+777x^38+514x^39+428x^40+188x^41+123x^42+86x^43+47x^44+20x^45+5x^46+2x^47+1x^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 1.10 in 4.31 seconds.