The generator matrix
1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 1 1 X 0 X 1 0 1 X 1 1 0 1 1 1 1 1 1 1 X X 0 0 1 1 0 1 X 1 0 1 X
0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X X 0 1 1 1 X+1 0 0 0 X+1 X+1 1 0 X+1 X+1 X 0 X X+1 1 0 0 0 1 0 1 X 1 1 X 0 X
0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 0 X+1 1 X+1 X X 0 0 1 X 1 X X+1 1 X+1 X 0 X+1 0 X+1 1 1 0 X X X 0 1 0 1 1 0
0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X 1 1 0 X+1 X+1 0 1 0 X+1 1 0 0 0 1 1 X+1 0 X X X 1 0 1 X+1 0 1 0 0 X X+1 1 X
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X X X X X X X X 0 X X X X 0 X X 0 0 0 0 0 0 X 0
0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 X X 0 0 X X 0 0
0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 0 X 0 X X X X X X X 0 0 X X 0 X 0 0 X 0 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X 0 X 0 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 0 0 0 X X X 0
0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X 0 X X 0 X X 0 0 X X 0 0 0 0 X X X 0 0 X X 0 0 X X X 0 X X 0 X
0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X X X X 0 X X 0 X X X 0 X 0 X X X X X 0 X 0 X 0 X X X 0 X 0 X
0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X X 0 0 X X X 0 0 X X X 0 0 X X 0 0 X X 0 0 X 0 X 0 X 0 X
generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+213x^36+452x^38+1302x^40+1786x^42+3372x^44+3962x^46+5174x^48+5040x^50+4676x^52+3080x^54+2084x^56+906x^58+488x^60+122x^62+77x^64+12x^66+19x^68+2x^72
The gray image is a linear code over GF(2) with n=98, k=15 and d=36.
This code was found by Heurico 1.16 in 85 seconds.