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

generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+24x^40+26x^41+56x^42+70x^43+129x^44+148x^45+232x^46+266x^47+346x^48+400x^49+421x^50+548x^51+580x^52+578x^53+587x^54+564x^55+487x^56+602x^57+466x^58+422x^59+317x^60+270x^61+276x^62+238x^63+275x^64+246x^65+350x^66+434x^67+550x^68+628x^69+763x^70+924x^71+1085x^72+1200x^73+1268x^74+1234x^75+1228x^76+1178x^77+1070x^78+976x^79+775x^80+660x^81+539x^82+420x^83+391x^84+272x^85+242x^86+182x^87+249x^88+268x^89+343x^90+380x^91+429x^92+564x^93+561x^94+656x^95+582x^96+620x^97+570x^98+538x^99+468x^100+370x^101+296x^102+266x^103+191x^104+136x^105+117x^106+66x^107+74x^108+24x^109+29x^110+8x^111+9x^112+2x^113+6x^114+1x^116+1x^124

The gray image is a linear code over GF(2) with n=150, k=15 and d=40.
This code was found by Heurico 1.16 in 98.8 seconds.