The generator matrix
1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 X 0 1 1 1 X 1 1 0 1 0 1 0 1 X X 0 1 1 X 1 1 0 1 1 0 1 1 1 1 1 1 1
0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X 1 1 0 1 X X X X+1 1 X+1 0 X 1 X X 0 X 1 X+1 X X+1 X+1 1 X 0 X 1 0 X+1 X+1 X+1 1 0
0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 1 X 1 X+1 X X X+1 1 1 X 1 0 X X 1 0 1 X X 1 X+1 1 1 0 X+1 1 X X+1 0 X+1 X+1 X+1 0
0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X X 1 1 0 0 1 0 X+1 1 1 X+1 X+1 0 X+1 X 1 1 X X+1 X 1 X 0 0 X 1 1 1 X 0 X+1 1 0
0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 X 0 X 0 X 0 X X X X 0 0 X 0 X X X X X 0 X X X 0 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 X 0 0 0 X X 0 0 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0
0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 0 X 0 X X 0 X 0 X X X 0 0 0 0 0 X 0 0 X 0
0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X 0 0 X X X X X 0 0 X 0 0 X 0 0 X 0 X 0 0 X X X X 0 X X 0 0 X 0 0
0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 X X X X X X X 0 X 0 X 0 0 0 X X X 0 X X X 0 0 X 0 0 0 0 0 X 0 0
0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X 0 0 X 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 0 0 X X X X 0 0
0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 0 X X X X X X 0 0 0 0 X 0 X 0 0 0 X 0 X X 0 0 X X 0 0 0
generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.
Homogenous weight enumerator: w(x)=1x^0+75x^36+64x^37+272x^38+258x^39+454x^40+504x^41+842x^42+964x^43+1336x^44+1578x^45+1701x^46+2114x^47+2143x^48+2564x^49+2464x^50+2700x^51+2371x^52+2350x^53+1915x^54+1606x^55+1345x^56+944x^57+754x^58+492x^59+367x^60+166x^61+203x^62+54x^63+88x^64+20x^65+36x^66+4x^67+10x^68+2x^69+5x^70+1x^72+1x^76
The gray image is a linear code over GF(2) with n=100, k=15 and d=36.
This code was found by Heurico 1.16 in 86.2 seconds.