The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X X 0 1 1 1 1 1 0 1 1 X 1 1 0 X 0 1 1 1 X 1 0 1 0 X 1 1 0 X 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 1 X X 1 1 X 1 0 1 0 1 X+1 1 1 1 1 X X 1 X+1 X+1 1 1 0 1 0 X 0 X 1 X 1 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 1 1 0 X 0 0 X+1 X+1 1 1 X 0 X+1 0 1 X 1 1 X+1 X X+1 X X+1 1 X 0 1 X+1 X 0 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 1 1 0 1 X+1 X 1 X X X+1 0 1 X+1 X 0 1 X X 1 0 X X+1 X+1 X X 1 1 X+1 1 1 X 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 X X X+1 X X+1 X+1 1 X X 0 0 X 1 X+1 1 X X X+1 X 0 1 X 0 X+1 X X 1 X 0 X 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X+1 0 1 X+1 X+1 X 0 X+1 X 1 0 1 0 1 0 X+1 0 X X 0 X+1 X 0 1 1 1 X+1 1 0 1 1 X 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 0 X X X X 0 X 0 0 X 0 0 X X 0 0 X 0 X 0 X X 0 X 0 0 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+84x^37+163x^38+230x^39+347x^40+408x^41+396x^42+472x^43+538x^44+518x^45+610x^46+630x^47+593x^48+610x^49+573x^50+498x^51+418x^52+330x^53+265x^54+188x^55+139x^56+94x^57+37x^58+30x^59+12x^60+4x^61+2x^62+1x^66+1x^74 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 6.15 seconds.