The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 X X 0 0 X 1 0 0 X 1 0 X X 1 1 X 0 1 0 1 X 0 1 1 1 0 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 X+1 X 1 1 X 1 1 1 1 0 X X+1 0 1 1 X+1 1 0 1 X+1 X+1 1 X 1 1 X+1 X 1 X X X 0 0 X+1 X+1 X X+1 0 0 X+1 1 X+1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 X+1 1 X X 1 X 0 X+1 1 1 0 0 X X+1 0 1 1 0 X+1 X+1 X 0 0 1 0 1 X+1 X 0 X+1 0 X 0 X X+1 X+1 0 0 X+1 0 1 X+1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 X X+1 X 1 0 X+1 1 1 0 1 X X 0 X+1 1 X+1 1 X+1 X+1 X+1 1 X X+1 0 0 X+1 X+1 1 0 1 1 0 0 X+1 1 0 0 X+1 X 1 X+1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 X X+1 X+1 0 1 1 0 X X+1 1 1 0 X X 0 0 1 0 0 1 X+1 X+1 1 X+1 X+1 X X+1 0 0 0 X 1 1 X+1 X+1 0 1 1 1 X X+1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 X+1 1 X 1 X 0 1 X X+1 X+1 X X X 1 X+1 0 X+1 1 X 1 X X 0 0 X+1 0 1 X X+1 1 X+1 1 1 X X X+1 0 X 1 1 X+1 0 X+1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 1 X X 0 1 X+1 1 X 0 X+1 0 1 0 X 0 X X+1 1 X+1 X+1 X X+1 X+1 1 0 X 0 X 1 X+1 0 X 1 0 X+1 X 1 X+1 0 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X 0 X X 0 X 0 0 X X 0 X X X 0 0 X 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+18x^39+42x^40+90x^41+101x^42+142x^43+187x^44+230x^45+419x^46+418x^47+448x^48+584x^49+626x^50+748x^51+871x^52+906x^53+988x^54+1046x^55+1106x^56+1180x^57+1233x^58+1382x^59+1432x^60+1432x^61+1470x^62+1464x^63+1443x^64+1398x^65+1227x^66+1204x^67+1135x^68+1038x^69+975x^70+820x^71+844x^72+758x^73+667x^74+620x^75+451x^76+426x^77+362x^78+270x^79+184x^80+130x^81+105x^82+48x^83+44x^84+16x^85+17x^86+12x^87+4x^88+4x^89+1x^90+1x^94 The gray image is a linear code over GF(2) with n=124, k=15 and d=39. This code was found by Heurico 1.16 in 98.9 seconds.