The generator matrix 1 0 0 0 0 0 0 1 1 1 1 X 1 1 1 X X 0 X 0 1 0 1 1 X 1 0 0 0 X X 1 X 1 1 X X 1 0 1 X X 1 1 1 1 X 0 1 X 1 1 1 0 X X X 1 1 1 0 1 0 1 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 1 1 1 X+1 X+1 1 1 1 1 1 1 1 X+1 1 X+1 1 1 1 0 1 1 X X+1 0 1 X 1 X+1 X+1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X X 1 1 1 1 1 1 1 1 1 X 0 1 X 1 1 X 0 X X X+1 X+1 1 0 1 X+1 X 0 X X+1 X+1 0 X 0 1 X 1 X 1 0 0 1 0 1 X 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 X X+1 1 X 0 1 1 X+1 X+1 0 0 1 0 1 X 1 1 X X+1 X+1 X+1 1 1 X X+1 X+1 0 1 X+1 0 0 X+1 0 X+1 1 X 1 X 0 X 0 1 0 X 0 X+1 0 1 0 0 0 0 0 1 0 0 0 1 1 X X+1 X+1 X+1 1 1 1 1 X+1 0 X+1 1 1 X 0 X 1 X X 1 X+1 X+1 0 X 1 X 1 1 X+1 X+1 1 0 X+1 X+1 0 X+1 1 1 1 1 0 X+1 X+1 X 0 1 0 X+1 1 1 X+1 0 0 0 0 0 0 1 0 1 0 X+1 X 1 X+1 1 X X X+1 1 0 X+1 0 X X+1 1 X+1 X+1 1 0 X 1 0 X+1 0 0 0 X 1 0 1 1 X+1 X 0 0 0 0 X+1 X 1 X+1 X 0 X+1 0 1 X 0 X+1 1 X 1 0 0 0 0 0 0 0 1 1 X+1 X 1 X+1 0 1 X X+1 1 X 0 X X+1 X+1 1 0 X+1 0 0 X+1 X+1 X+1 1 X+1 0 X+1 0 0 X 0 0 X+1 X+1 X 1 X 1 X X+1 0 1 X 1 0 0 X 0 X X+1 1 X X+1 X 0 0 0 0 0 0 0 0 X X 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 X X X X X X 0 X 0 0 0 X X 0 X X 0 0 X X 0 0 X X 0 X X X 0 0 X 0 X X 0 0 0 generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+85x^48+142x^49+368x^50+396x^51+597x^52+726x^53+960x^54+1150x^55+1389x^56+1586x^57+1677x^58+1878x^59+1913x^60+2222x^61+2190x^62+2296x^63+2132x^64+2046x^65+1862x^66+1664x^67+1288x^68+1130x^69+956x^70+662x^71+540x^72+286x^73+249x^74+126x^75+105x^76+50x^77+46x^78+20x^79+12x^80+4x^81+12x^82+1x^84+1x^88 The gray image is a linear code over GF(2) with n=124, k=15 and d=48. This code was found by Heurico 1.11 in 49.5 seconds.