The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 X 1 1 0 1 0 1 1 X X 0 1 1 1 0 1 1 0 0 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 1 1 0 X+1 0 X+1 1 1 0 X+1 1 X+1 1 X+1 X+1 1 0 1 X 1 0 X X X 1 X 1 0 0 0 0 X 0 0 0 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 0 X X X 0 X 0 X X 0 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X 0 X 0 X X 0 X X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X X X X X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X 0 X X X 0 X X 0 0 X X X 0 X 0 0 X 0 0 X 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 0 X 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X X X 0 0 X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 X X 0 X 0 0 0 X X 0 X X 0 0 X X X 0 0 0 0 0 0 X X X X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X 0 0 X 0 X X 0 X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 0 X X 0 X 0 X X 0 0 0 X X 0 0 X X X X 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 36. Homogenous weight enumerator: w(x)=1x^0+30x^36+2x^37+104x^38+34x^39+161x^40+106x^41+212x^42+226x^43+307x^44+356x^45+424x^46+588x^47+540x^48+740x^49+553x^50+692x^51+509x^52+634x^53+471x^54+394x^55+307x^56+178x^57+190x^58+106x^59+154x^60+32x^61+70x^62+8x^63+29x^64+21x^66+7x^68+3x^70+2x^72+1x^76 The gray image is a linear code over GF(2) with n=100, k=13 and d=36. This code was found by Heurico 1.16 in 7.67 seconds.