The generator matrix

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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+14x^40+28x^41+53x^42+94x^43+118x^44+160x^45+219x^46+270x^47+304x^48+372x^49+428x^50+522x^51+590x^52+606x^53+656x^54+578x^55+565x^56+534x^57+460x^58+410x^59+354x^60+326x^61+272x^62+290x^63+340x^64+370x^65+424x^66+526x^67+686x^68+800x^69+916x^70+1082x^71+1131x^72+1192x^73+1275x^74+1196x^75+1134x^76+1136x^77+972x^78+850x^79+712x^80+536x^81+449x^82+370x^83+265x^84+260x^85+284x^86+282x^87+362x^88+408x^89+483x^90+510x^91+557x^92+580x^93+575x^94+646x^95+621x^96+538x^97+463x^98+386x^99+333x^100+282x^101+198x^102+142x^103+83x^104+54x^105+53x^106+34x^107+18x^108+10x^109+12x^110+4x^111+2x^112+1x^120+1x^124

The gray image is a linear code over GF(2) with n=148, k=15 and d=40.
This code was found by Heurico 1.16 in 98.8 seconds.