The generator matrix

 1  0  0  0  0  1  1  1  1  1  1  1  X  X  X  0  0  X  0  X  X  X  0  1  1  0  X  1  1  1  1  1  0  0  1  1  1  X  X  1  0  X  X  X  0  1  1  X  0  1  X  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  1  0  0  1  1  0  1  1  1  1  1  1  1  0  0  1  0  1  X  0  X  X  X  0  1 X+1  X  X  1 X+1  0  1  0  X  X  1  0  1  0  X  X  0  0  1  1  X  X X+1  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  1  0  1  0  1  0  0  1  X X+1  1  1  1  1 X+1  X  1  0  1  0  1  X  0  1  X X+1  1  X  0  X  0 X+1  1  X  X  1  1 X+1 X+1  1  X X+1  0 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  1  0  1  1  1  0  0  0  1  1  0  0 X+1 X+1  0 X+1 X+1 X+1 X+1  X X+1 X+1  1 X+1  0  X  1  1 X+1  1  X  X  0 X+1  0  1  1  X  X X+1  1  X  X X+1  1  1 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  1  1  1  0  0  1  1  X  1  1  1  X X+1 X+1  1  X X+1  X  X  X X+1  1  1  0  0  X X+1  X X+1  1  1  1  X  0 X+1  0 X+1  1  0  X  0  1  1 X+1  X  1  1  0 X+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  X  0  0  0  0  0  X  0  X  X  0  X  0  X  X  X  0  X  0  X  X  X  0  X  X  0  X  X  0  X  X  X  0  X  X  X  0  X  0  0  X  X  0  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  X  0  0  0  0  X  X  X  0  0  X  X  0  0  X  X  0  0  X  X  X  X  X  X  X  0  0  X  0  X  X  0  X  X  0  0  0  0  X  X  X  0  0  0  X  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  X  0  0  X  0  X  0  X  0  X  0  X  0  X  X  0  0  0  X  0  0  X  0  X  X  X  0  0  0  0  X  X  X  X  X  X  0  0  X  X  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
 0  0  0  0  0  0  0  0  X  0  X  0  0  X  X  X  0  0  X  X  0  X  0  X  X  0  0  X  0  X  X  X  0  0  X  0  0  0  X  X  0  X  X  0  0  0  X  X  X  X  0  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  0  X  X  0  X  X  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X  X  X  X  0  0  0  X  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+11x^40+28x^41+62x^42+92x^43+124x^44+150x^45+214x^46+256x^47+354x^48+364x^49+477x^50+536x^51+547x^52+638x^53+571x^54+582x^55+515x^56+552x^57+442x^58+412x^59+426x^60+348x^61+332x^62+394x^63+418x^64+386x^65+611x^66+696x^67+810x^68+966x^69+973x^70+1142x^71+1250x^72+1236x^73+1278x^74+1186x^75+1073x^76+1026x^77+902x^78+676x^79+518x^80+462x^81+406x^82+294x^83+361x^84+314x^85+342x^86+436x^87+436x^88+518x^89+567x^90+632x^91+619x^92+632x^93+540x^94+534x^95+469x^96+396x^97+327x^98+246x^99+196x^100+146x^101+116x^102+76x^103+58x^104+26x^105+21x^106+2x^107+4x^108+4x^109+10x^110+2x^112+1x^114

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 99 seconds.