The generator matrix

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

generates a code of length 44 over Z2[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+82x^33+181x^34+266x^35+428x^36+586x^37+636x^38+792x^39+965x^40+1020x^41+1188x^42+1322x^43+1307x^44+1268x^45+1291x^46+1196x^47+1024x^48+830x^49+640x^50+508x^51+328x^52+218x^53+149x^54+74x^55+38x^56+28x^57+11x^58+4x^60+2x^63+1x^68

The gray image is a linear code over GF(2) with n=88, k=14 and d=33.
This code was found by Heurico 1.10 in 6.77 seconds.