The generator matrix

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

generates a code of length 45 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+67x^34+74x^35+161x^36+176x^37+264x^38+316x^39+416x^40+480x^41+514x^42+622x^43+610x^44+720x^45+647x^46+648x^47+544x^48+528x^49+415x^50+326x^51+245x^52+128x^53+110x^54+60x^55+61x^56+16x^57+28x^58+2x^59+8x^60+3x^62+1x^64+1x^72

The gray image is a linear code over GF(2) with n=90, k=13 and d=34.
This code was found by Heurico 1.16 in 6.25 seconds.