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

generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+39x^40+48x^41+92x^42+98x^43+170x^44+188x^45+290x^46+338x^47+401x^48+484x^49+511x^50+556x^51+537x^52+648x^53+540x^54+622x^55+532x^56+456x^57+429x^58+324x^59+332x^60+298x^61+304x^62+318x^63+378x^64+434x^65+491x^66+658x^67+833x^68+926x^69+998x^70+1126x^71+1273x^72+1258x^73+1299x^74+1222x^75+1070x^76+962x^77+855x^78+636x^79+487x^80+428x^81+352x^82+340x^83+277x^84+274x^85+313x^86+324x^87+416x^88+488x^89+551x^90+562x^91+551x^92+584x^93+572x^94+634x^95+563x^96+470x^97+412x^98+322x^99+232x^100+208x^101+155x^102+92x^103+84x^104+30x^105+23x^106+14x^107+13x^108+8x^109+5x^110+6x^111+2x^112+1x^116

The gray image is a linear code over GF(2) with n=146, k=15 and d=40.
This code was found by Heurico 1.16 in 98.9 seconds.