The generator matrix
1 0 0 1 1 1 0 1 1 1 1 1 0 X 0 1 0 1 X 1 X 1 1 1 0 1 X 1 1 X 1 1 0 0 1 1 1 1 1 0 X 1 1 0 X 0 1 1 1
0 1 0 1 0 1 1 0 0 1 X+1 X 1 1 0 X 0 X+1 1 X+1 1 1 0 1 X X 1 0 0 1 1 1 X 0 0 0 X+1 1 1 1 X X 0 1 1 1 X 0 1
0 0 1 1 1 0 1 0 1 X+1 X 1 X 1 1 0 1 X+1 X X 1 1 0 1 1 0 X+1 X 1 0 1 1 1 1 X+1 X X X 0 X+1 1 1 1 1 X+1 1 0 X 1
0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X X X X 0 X 0 X X 0 X X 0 X X X
0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 X X 0 0 X X X 0 X 0 X 0 0 X X X 0 0 X X 0 X X X X X
0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X X 0 0 0 0 0 X 0 0 X X X X 0 0 X X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 X X X 0 X X 0 X 0 X X 0 X X X X X 0 0 X X X 0 X 0 0 0
0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X 0 X 0 X 0 0 0 X X X 0 X 0 0 0 X 0 0 X X X
0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 X X 0 0 X 0 0 X 0 0 0 X 0 X X X X X 0 X X 0 X 0 X 0 0 X
generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.
Homogenous weight enumerator: w(x)=1x^0+188x^40+272x^42+514x^44+474x^46+645x^48+536x^50+598x^52+396x^54+283x^56+104x^58+54x^60+10x^62+18x^64+2x^68+1x^72
The gray image is a linear code over GF(2) with n=98, k=12 and d=40.
This code was found by Heurico 1.16 in 2.65 seconds.