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

generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+23x^40+52x^41+80x^42+100x^43+195x^44+186x^45+263x^46+346x^47+370x^48+482x^49+554x^50+526x^51+616x^52+632x^53+577x^54+628x^55+469x^56+522x^57+432x^58+452x^59+429x^60+398x^61+456x^62+452x^63+577x^64+700x^65+845x^66+954x^67+1018x^68+1088x^69+1237x^70+1276x^71+1248x^72+1172x^73+1118x^74+954x^75+926x^76+726x^77+537x^78+466x^79+414x^80+372x^81+372x^82+418x^83+435x^84+478x^85+514x^86+612x^87+674x^88+684x^89+565x^90+604x^91+489x^92+448x^93+418x^94+312x^95+216x^96+206x^97+183x^98+86x^99+81x^100+42x^101+30x^102+4x^103+8x^104+2x^105+11x^106+2x^107+3x^108+2x^109

The gray image is a linear code over GF(2) with n=142, k=15 and d=40.
This code was found by Heurico 1.16 in 98.7 seconds.