The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 0 0 1 1 1 1 1 X X X 0 0 X 0 1 1 1 1 X 0 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X+1 X 1 X+1 0 1 1 X X 1 X 1 0 1 1 X X X 1 0 X 1 1 X 1 X 1 1 1 0 1 1 1 X+1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 1 1 X X 1 1 0 X 1 X+1 X X 1 1 X+1 0 X+1 0 X+1 1 1 X 0 X+1 X+1 1 0 1 X 1 1 0 1 X X 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X+1 X X 1 1 X X 1 X+1 X+1 1 1 X+1 X+1 0 X 0 X 1 X+1 X+1 0 X X+1 0 X 1 X+1 0 0 1 X X X X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 0 0 X 0 X 0 0 X X 0 0 X X X 0 0 X X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 X X X X 0 X X X 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 X X X X X X 0 0 X X X 0 X X 0 X 0 0 X 0 0 X X X 0 X X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 X X X 0 0 0 X X X X X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 X 0 0 0 X X X X 0 0 X 0 0 X X X 0 X 0 0 X X 0 0 0 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 X 0 0 0 0 X X 0 0 0 X X X 0 X 0 X X 0 X X X 0 0 X X X X 0 0 0 0 X generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+72x^38+100x^39+252x^40+334x^41+453x^42+520x^43+658x^44+778x^45+934x^46+1014x^47+1121x^48+1320x^49+1136x^50+1314x^51+1199x^52+1084x^53+1043x^54+872x^55+624x^56+486x^57+373x^58+244x^59+200x^60+90x^61+76x^62+30x^63+32x^64+4x^65+6x^66+2x^67+7x^68+3x^70+2x^72 The gray image is a linear code over GF(2) with n=100, k=14 and d=38. This code was found by Heurico 1.16 in 47.1 seconds.