The generator matrix

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

generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+59x^34+72x^35+185x^36+292x^37+410x^38+532x^39+685x^40+774x^41+946x^42+1048x^43+1178x^44+1300x^45+1245x^46+1402x^47+1199x^48+1172x^49+1012x^50+800x^51+658x^52+468x^53+353x^54+224x^55+163x^56+86x^57+62x^58+16x^59+26x^60+4x^61+7x^62+2x^63+1x^66+1x^68+1x^70

The gray image is a linear code over GF(2) with n=92, k=14 and d=34.
This code was found by Heurico 1.16 in 40.3 seconds.