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
 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  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  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  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  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  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  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  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  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

generates a code of length 70 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+503x^56+542x^57+478x^58+522x^59+487x^60+460x^61+536x^62+564x^63+761x^64+852x^65+967x^66+1014x^67+1102x^68+1240x^69+1277x^70+1246x^71+1194x^72+1112x^73+992x^74+916x^75+762x^76+546x^77+523x^78+456x^79+431x^80+460x^81+468x^82+494x^83+534x^84+620x^85+680x^86+680x^87+571x^88+604x^89+489x^90+448x^91+418x^92+312x^93+216x^94+206x^95+183x^96+86x^97+81x^98+42x^99+30x^100+4x^101+8x^102+2x^103+11x^104+2x^105+3x^106+2x^107

The gray image is a linear code over GF(2) with n=140, k=15 and d=40.
This code was found by Heurico 1.16 in 99 seconds.