The generator matrix

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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+95x^56+20x^58+447x^60+214x^62+949x^64+782x^66+1712x^68+1584x^70+2602x^72+1828x^74+2189x^76+1206x^78+1374x^80+406x^82+595x^84+100x^86+215x^88+4x^90+48x^92+11x^96+1x^100+1x^128

The gray image is a linear code over GF(2) with n=146, k=14 and d=56.
This code was found by Heurico 1.16 in 51.3 seconds.