The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  X  1  1  0  1  0  1  1  1  0  X  1  1  1  1  1  0  1  1  0  1  0  1  1  0  1  1  1  1  0  1  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  X X+1  1 X+1  1  0  0 X+1  1  1 X+1 X+1 X+1  0 X+1  1  0  0  1 X+1  1  1  X  1  X X+1  X  1  0 X+1 X+1  0  0
 0  0  X  0  0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  0  0  0  0  X  X  X  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  0  X  X  X  0  X  X  0  0  0  0  X  X  X  0  0  X  X  X  0  0  0  X  X  0  X  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  0  X  0  0  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  X  0  X  0  X  X  0  0  0  X  0  X  X  X  0  X  X  0  X  X  X  X  0  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  X  X  X  0  0  X  X  0  0  0  0  X  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  0  X  X  0  X  X  0  X  X  X  0  X  0  0  0  0  0  X  0  0  X  X  X  X  0  0  X  0  X  0  0  0  X
 0  0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  X  X  0  X  0  X  0  0  X  0  X  0  X  0  0  0  0  X  X  X  0  X  X  X
 0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  0  X  0  0  X  0  X  0  X  0  X  X  0  0  0  0  X  0  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+38x^34+12x^35+96x^36+84x^37+144x^38+162x^39+198x^40+234x^41+249x^42+344x^43+305x^44+360x^45+314x^46+340x^47+254x^48+292x^49+189x^50+140x^51+119x^52+52x^53+68x^54+26x^55+42x^56+2x^57+19x^58+7x^60+2x^62+1x^64+1x^66+1x^68

The gray image is a linear code over GF(2) with n=90, k=12 and d=34.
This code was found by Heurico 1.16 in 1.73 seconds.