The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 1 1 0 0 1 1 X 1 0 0 0 1 0 1 1 0 0 1 X 0 X 0 1 0 1 X X 1 1 X 1 0 1 0 1 X 0 1 1 X 1 1 0 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 0 X+1 1 0 X+1 1 1 1 1 0 1 0 1 X 0 1 0 1 1 1 1 0 X+1 1 X 1 1 1 X+1 1 0 1 1 X X 1 0 X 0 1 1 X 1 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X X+1 1 X+1 X+1 X+1 X 0 1 0 1 X+1 X 1 1 1 0 X 0 X+1 1 1 1 X 0 0 X 0 1 0 X 1 1 0 0 1 1 1 X X 1 X+1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X 0 0 X X X X X X 0 0 0 X 0 0 X 0 0 0 X 0 X 0 0 0 X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 0 X 0 0 X 0 X X X 0 X 0 0 X 0 0 0 X X X X 0 X 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 X X X X 0 X X 0 X 0 X X X 0 0 X X X 0 X 0 X 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X X X X 0 X X 0 X X X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 X X 0 0 X 0 X X 0 X X 0 X X X 0 0 0 X X 0 X X 0 X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 X X X X 0 0 X 0 X X X X X X X X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 0 X X 0 0 X 0 X X X 0 0 X X X X 0 0 X X 0 X 0 0 0 X X X X 0 0 X X X 0 0 X X X 0 X 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+38x^52+54x^53+114x^54+130x^55+194x^56+280x^57+326x^58+306x^59+422x^60+430x^61+477x^62+562x^63+519x^64+566x^65+485x^66+556x^67+467x^68+458x^69+414x^70+350x^71+281x^72+220x^73+170x^74+114x^75+92x^76+34x^77+49x^78+30x^79+26x^80+6x^81+9x^82+5x^84+2x^86+3x^88+2x^90 The gray image is a linear code over GF(2) with n=130, k=13 and d=52. This code was found by Heurico 1.16 in 10.3 seconds.