The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 X X 1 0 1 1 1 0 1 1 1 0 X 0 X 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 X+1 1 X+1 1 0 1 0 0 X+1 1 X+1 0 1 0 1 1 X+1 1 0 X+1 X+1 X 0 0 X+1 0 1 1 1 X+1 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X 0 0 0 X X 0 X X 0 X X 0 X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 X X X 0 0 X X 0 0 X 0 0 0 0 X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 X X 0 0 X X 0 X X 0 X 0 X X X X 0 0 X 0 X X 0 X 0 0 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 0 X X X X X X X 0 X X X X 0 X X 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 X 0 0 X X 0 X X X X 0 0 X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X X X 0 0 0 0 0 0 X X X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X X X X X X X X 0 0 0 X 0 X 0 X X 0 0 0 X 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 X X 0 X 0 0 X X 0 X X 0 0 0 0 X X X X 0 X X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X X X X X X 0 X X X X X X X X X 0 X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 X 0 0 0 X X 0 X X X X 0 0 X X 0 generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+74x^36+55x^38+8x^39+242x^40+66x^41+248x^42+130x^43+540x^44+504x^45+535x^46+660x^47+866x^48+1266x^49+964x^50+1438x^51+1077x^52+1472x^53+1049x^54+1312x^55+800x^56+646x^57+742x^58+478x^59+363x^60+136x^61+335x^62+68x^63+105x^64+6x^65+120x^66+2x^67+25x^68+40x^70+2x^72+6x^74+1x^76+2x^78 The gray image is a linear code over GF(2) with n=104, k=14 and d=36. This code was found by Heurico 1.16 in 28.8 seconds.