The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 1 X 0 X 1 X X 1 1 1 1 X 0 1 1 1 1 X 0 1 X 0 X 1 1 1 0 1 0 1 X X 1 1 X 0 0 0 1 0 0 0 0 0 0 0 1 X+1 1 1 X 1 1 X 1 1 1 X X+1 1 1 0 X X X+1 X+1 X+1 1 1 0 1 0 1 X+1 1 1 1 X 0 0 X 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 1 1 X+1 1 1 0 X 0 X 1 0 X+1 X 0 X+1 X X+1 1 0 X X+1 X+1 X+1 X 0 X 0 1 1 0 1 1 X 1 X 0 0 0 1 0 1 1 0 1 0 0 X+1 X X+1 0 1 X+1 1 X+1 0 X 1 X 0 X 1 0 0 1 1 0 0 1 1 1 1 X 1 X 0 X X X 0 0 X X+1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 X+1 X 1 0 0 1 X+1 X X+1 X X 1 X+1 X+1 0 X+1 1 X X+1 X X+1 X X+1 1 0 1 X 0 0 1 1 X X X X+1 1 0 1 0 0 0 0 0 X 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 0 0 X X 0 X 0 X 0 X X X X 0 X X 0 X 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X 0 X X X 0 X X 0 X 0 0 0 X 0 X X X 0 X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X 0 0 X X 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 X 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X X X X 0 X X 0 0 0 0 X 0 0 X X X 0 0 0 X 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 X 0 0 generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 37. Homogenous weight enumerator: w(x)=1x^0+62x^37+171x^38+298x^39+447x^40+572x^41+814x^42+980x^43+1316x^44+1580x^45+1779x^46+2130x^47+2294x^48+2470x^49+2569x^50+2584x^51+2446x^52+2222x^53+1992x^54+1670x^55+1272x^56+1024x^57+696x^58+460x^59+344x^60+232x^61+151x^62+62x^63+65x^64+30x^65+17x^66+8x^67+6x^68+3x^70+1x^72 The gray image is a linear code over GF(2) with n=100, k=15 and d=37. This code was found by Heurico 1.16 in 91.5 seconds.