The generator matrix 1 0 0 0 0 0 0 1 1 1 0 X 1 0 0 1 1 X X 1 0 1 1 1 0 1 X 0 1 1 1 1 X X X 0 0 1 0 1 X 1 1 1 X X 1 0 X X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 X+1 1 1 X X+1 1 X X 0 X 1 X+1 0 0 1 0 0 X+1 1 X 0 X+1 X+1 0 X 1 0 1 0 1 1 0 1 1 X+1 X+1 1 1 1 1 X 0 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 X 0 X 1 X+1 X+1 1 X 0 0 X+1 X+1 X 1 X+1 1 1 1 X+1 0 X X 1 X 0 1 0 X 1 1 1 X+1 1 0 X+1 0 X+1 1 1 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 X 1 X+1 0 1 0 0 X 1 1 1 0 0 1 X+1 X+1 X+1 0 X 0 X 0 1 0 1 X X+1 0 X 0 1 X+1 0 X+1 1 X X 0 X 1 X+1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 X 1 0 X+1 X 0 X+1 X 1 1 1 1 0 1 X 1 1 X X 1 1 1 X+1 1 1 1 1 X+1 0 X 1 X+1 X 1 1 X+1 X X 0 0 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 X+1 X+1 X X 1 1 0 0 X+1 X+1 0 X+1 1 1 1 0 X X+1 X+1 0 0 X+1 X X+1 1 0 0 0 X X X+1 1 X+1 X X+1 X 0 X+1 X+1 1 0 X X+1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 1 X+1 X+1 1 X+1 X+1 1 X 1 X 1 1 1 X+1 0 X+1 0 X+1 X X X X+1 X+1 0 X X 1 1 X X X X+1 X+1 X+1 X 1 1 0 X X+1 1 X+1 X+1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X X 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X 0 X X X X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+18x^39+45x^40+84x^41+108x^42+160x^43+195x^44+252x^45+374x^46+394x^47+505x^48+486x^49+494x^50+656x^51+651x^52+686x^53+739x^54+752x^55+781x^56+796x^57+867x^58+952x^59+1020x^60+1070x^61+1141x^62+1176x^63+1207x^64+1346x^65+1334x^66+1318x^67+1203x^68+1076x^69+1026x^70+888x^71+829x^72+800x^73+675x^74+700x^75+725x^76+670x^77+724x^78+652x^79+589x^80+564x^81+491x^82+392x^83+324x^84+280x^85+175x^86+112x^87+97x^88+74x^89+30x^90+22x^91+18x^92+6x^93+13x^94+2x^96+2x^97+1x^98 The gray image is a linear code over GF(2) with n=130, k=15 and d=39. This code was found by Heurico 1.16 in 99.8 seconds.