The generator matrix
1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 0 0 1 0 1 1 1 X X 1 1 1 0 1 X X 0 0 X 1 0 1 X X 1 1 1 X 1 1 1 1
0 1 0 0 0 0 0 0 0 1 1 1 1 1 X+1 X 1 0 1 X X 1 X 0 X 0 X 0 X 1 1 1 1 1 X 1 X+1 1 1 X X+1 X+1 0 X+1 X+1 0 X
0 0 1 0 0 0 1 1 1 1 X+1 0 0 X+1 X 0 X+1 0 X X+1 X 1 1 1 1 X 0 1 1 X 0 X 1 X+1 X 1 0 1 X+1 X+1 0 1 X 1 X X+1 1
0 0 0 1 0 1 1 0 1 X X+1 1 0 1 1 X X X 0 X+1 X+1 1 X 1 1 1 X+1 1 0 1 X X X+1 X+1 1 1 X+1 X 1 X+1 X X+1 1 1 X+1 0 0
0 0 0 0 1 1 0 1 X+1 X X+1 X+1 1 X 0 1 1 0 X X X+1 X+1 X 1 0 1 X X 0 0 X+1 1 X+1 1 X 0 1 0 1 X+1 1 1 X X X X+1 0
0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 X X X 0 X 0 0 X X X 0 0 X X 0 X X 0 X 0 X 0 0
0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X X 0 0 0 X X 0 0 X 0 0 0 X 0 X X X X X 0 0 0 X X 0 X
0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X X X X X 0
generates a code of length 47 over Z2[X]/(X^2) who´s minimum homogenous weight is 37.
Homogenous weight enumerator: w(x)=1x^0+104x^37+152x^38+242x^39+353x^40+362x^41+425x^42+436x^43+514x^44+594x^45+589x^46+588x^47+616x^48+588x^49+574x^50+544x^51+424x^52+324x^53+262x^54+210x^55+131x^56+74x^57+41x^58+28x^59+6x^60+2x^61+5x^62+2x^64+1x^80
The gray image is a linear code over GF(2) with n=94, k=13 and d=37.
This code was found by Heurico 1.16 in 82.5 seconds.