The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 1 X^2+X 0 1 1 X 1 1 0 1 1 X^2+X X^2 1 X^2+X 1 1 0 X^2+X 0 1 X 1 X X X^2+X 1 X 1 X^2 X 1 X^2 1 1 X X^2 X^2 1 X^2 1 1 1 1 1 1 1 X^2+X 1 1 0 1 0 0 0 0 X+1 X X^2 X+1 1 X^2 1 1 1 X^2+X+1 X^2+1 1 X^2+X+1 X^2+1 1 X^2+1 X 1 1 0 0 X 0 X^2+X X^2 0 X^2 X^2+X X^2+1 1 X X^2+X X^2+X+1 1 X+1 X^2+X 1 1 1 X^2+X X+1 1 1 0 X^2 1 X+1 X^2+X X X^2+X+1 X^2+1 X^2+X X^2+1 1 X^2+1 0 0 0 1 0 0 0 1 X+1 1 X^2+1 X^2 X^2+1 1 X+1 X^2+X 0 0 X^2+X X^2+X X^2+X+1 1 X^2 X X^2+X+1 X^2+X+1 X^2+X X^2 1 X^2+1 1 1 1 X^2+X+1 0 X^2+X X^2+X+1 1 1 X^2+X+1 X+1 X^2+X+1 1 X 0 X 1 X+1 X 0 X^2 X+1 X+1 X^2+1 X+1 X^2 1 X^2+1 X^2+X+1 X X^2+1 0 0 0 0 0 1 0 1 X^2 X^2+1 1 X+1 X^2+1 X^2+X X X^2+X+1 X X+1 0 X+1 X^2 X^2+1 X^2 X^2+X+1 X^2+X+1 0 X+1 X^2+X 1 X+1 X 0 X^2+X+1 0 0 0 X 0 X+1 1 X^2 X^2+X X+1 0 X X+1 X+1 X+1 0 1 X^2+X X^2+X 0 X+1 X^2+X+1 0 X^2+1 1 X^2+X+1 X^2+1 X^2+X X^2+X+1 X X^2 0 0 0 0 1 1 X^2+1 X X+1 X^2+1 X^2+X X^2+1 0 0 X^2+1 X^2 X^2+X X^2+X+1 X+1 X^2 X X^2+1 X^2 1 1 X^2+1 X+1 X+1 X X+1 0 X X+1 1 X^2+X+1 X^2+X X^2 X^2+1 1 X^2+X+1 X^2 X^2+1 1 X^2 X^2 X X^2+X 1 X^2+X+1 1 X^2+X+1 X+1 X X^2 X+1 X^2+1 0 X X+1 1 X^2 X^2 0 0 0 0 0 X 0 X X X^2+X X X^2 X^2 X^2+X X^2 X^2+X 0 X^2+X 0 X 0 X^2+X X^2+X X^2 X 0 X^2+X X 0 X^2 X X^2+X X^2+X X^2+X X X^2+X X^2 X^2 X X X^2 X X^2+X X X^2 0 X 0 X X X^2 0 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X 0 X^2 X^2 generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+130x^51+542x^52+1186x^53+1866x^54+2920x^55+4507x^56+5920x^57+7977x^58+9786x^59+11109x^60+12712x^61+13133x^62+12698x^63+11744x^64+10402x^65+8235x^66+5652x^67+4043x^68+2918x^69+1669x^70+942x^71+536x^72+196x^73+136x^74+64x^75+30x^76+8x^77+8x^78+2x^81 The gray image is a linear code over GF(2) with n=248, k=17 and d=102. This code was found by Heurico 1.13 in 189 seconds.