The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 1 X 0 0 X X 1 1 0 0 0 1 0 1 X 1 1 1 0 X 1 1 0 1 1 1 0 1 1 1 1 X X 1 0 1 X 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X 0 X 1 1 X X 1 X+1 1 1 1 0 1 X+1 X X X+1 X 1 1 1 1 0 X+1 0 0 X X 0 0 1 1 1 1 X X+1 X 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 0 1 X X+1 1 X 0 0 X+1 X X 0 X+1 1 1 1 X+1 X+1 X+1 0 1 0 1 0 X 1 1 X+1 X+1 X+1 X X 1 0 0 X+1 1 X+1 X+1 X X+1 1 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 X+1 0 0 X 1 1 X 0 X 1 X 0 X+1 X+1 1 1 X+1 X 0 1 X X+1 0 X+1 0 X+1 0 1 1 0 X+1 X 1 0 1 X 1 X+1 X 1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X X 0 0 0 0 X X X X 0 X 0 X X X 0 0 0 X 0 X X X X 0 X X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X X X X 0 0 0 0 X X X 0 0 0 0 X X X X 0 X 0 0 0 0 0 X 0 X 0 0 0 X X 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X 0 X X X X X X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 X 0 0 X 0 X 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X 0 X X 0 0 0 X X 0 X X X X 0 0 X 0 0 X X 0 X 0 0 X 0 X X 0 0 X X X X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 0 0 X X X 0 X 0 X X 0 X X 0 0 X 0 0 X 0 X 0 0 0 X 0 X 0 0 X 0 0 0 0 X X 0 0 X 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+116x^52+100x^53+214x^54+304x^55+441x^56+466x^57+618x^58+700x^59+810x^60+910x^61+922x^62+1026x^63+984x^64+1134x^65+1023x^66+1072x^67+911x^68+936x^69+782x^70+732x^71+629x^72+454x^73+390x^74+228x^75+173x^76+86x^77+126x^78+34x^79+23x^80+10x^81+16x^82+5x^84+4x^86+2x^88+1x^92+1x^98 The gray image is a linear code over GF(2) with n=130, k=14 and d=52. This code was found by Heurico 1.16 in 70.6 seconds.