The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  1  1  1  1  X  1  X  1  X  X  1  X  1  X  1  X  1  1  1  1
 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  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  X  X  X  0  X  0  X  0  X  0  X  X  X  X  0  0  0  0  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  X  X  X  X  X  X  X  X  0  X  X  0  X  0  X  X  X  0  0  X  0  X  X  X  X  0  X  0  X  X  X  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  0  0  0  0  0  0  0  X  X  X  0  X  0  0  X  X  X  0  0  X  0  X  0  X  0  0  X  0  X  0  0  0  0  0  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  0  0  0  X  X  X  X  0  0  0  0  0  0  X  0  X  X  0  X  X  X  X  X  X  0  0  0  0  X  0  0  X  X  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  0  0  X  X  0  0  0  0  X  X  0  0  0  0  0  0  X  0  X  X  X  X  0  X  X  X  X  0  0  0  X  X  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  0  X  X  0  X  X  0  X  0  X  0  X  0  0  0  X  X  X  X  X  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  X  X  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  0  0  0  X  0  X  0  0  0  X  0  X  0  0  X  0  0  X  X  0  X  0  X  X  0  X  0  0  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  0  0  0  X  0  0  X  X  0  0  X  X  X  0  X  0  0  X  0  0  0  X  0  0  0  X  X  X  0  0  0  X  X  X  0  0  X  X  X  X  X  0  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  0  X  X  0  X  0  X  0  0  X  X  0  X  X  0  X  X  0  0  X  0  0  X  0  0  X  0  0  0  X  X  X  X  0  0  0  X  X  X  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  X  X  0  X  X  0  0  X  0  0  X  0  X  0  0  0  0  X  X  X  X  X  0  0  0  X  X  0  0  0  0  X  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  X  0  X  X  0  0  X  X  0  X  X  0  X  0  X  0  0  0  X  X  X  0  X  X  0  X  X  0  0  0  X  X  0  0  0  X  X  0  0  X  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  X  0  X  X  X  0  X  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  0  0  0  X  0  0  0  0  0  0  0

generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+224x^40+382x^44+722x^48+16x^50+1258x^52+576x^54+2620x^56+2016x^58+3442x^60+1344x^62+1759x^64+144x^66+987x^68+540x^72+248x^76+86x^80+18x^84+1x^100

The gray image is a linear code over GF(2) with n=118, k=14 and d=40.
This code was found by Heurico 1.16 in 46.9 seconds.