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

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+44x^40+166x^42+295x^44+531x^46+742x^48+1123x^50+1209x^52+1143x^54+1161x^56+815x^58+561x^60+463x^62+562x^64+819x^66+1305x^68+1833x^70+2345x^72+2579x^74+2222x^76+1858x^78+1375x^80+847x^82+559x^84+444x^86+567x^88+789x^90+1040x^92+1218x^94+1276x^96+1123x^98+805x^100+472x^102+241x^104+135x^106+68x^108+22x^110+6x^112+4x^114

The gray image is a linear code over GF(2) with n=148, k=15 and d=40.
This code was found by Heurico 1.16 in 98.2 seconds.