The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 1 X^2 1 1 1 X 1 X 1 1 X 1 0 X^2 1 1 1 1 1 1 1 1 X^2 X^2 1 1 X^2 1 0 1 1 1 1 X^2+X 0 X 1 1 1 1 1 X^2 1 0 1 1 1 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X+1 X+1 1 X^2+X 1 0 X+1 1 X 1 1 X X^2+X 1 X^2+X+1 X^2+1 X+1 1 0 1 1 X X+1 1 X^2+1 1 X^2 1 X X^2+X+1 1 1 1 0 X^2+X+1 1 X^2 X^2+1 X X^2 1 X X^2+1 X+1 X 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X X 0 X^2+X X^2 X^2+X X^2+X X^2 0 X^2+X 0 X X 0 X^2 X^2 0 X^2+X X 0 X^2+X 0 X^2 X^2+X X X 0 X X^2 X^2+X 0 X^2 X^2+X X^2+X 0 X^2 X X^2 X X^2 X^2 X^2 X^2+X X 0 0 X^2 0 X 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+50x^53+104x^54+198x^55+245x^56+384x^57+594x^58+636x^59+769x^60+816x^61+779x^62+750x^63+758x^64+616x^65+477x^66+416x^67+221x^68+170x^69+64x^70+42x^71+41x^72+8x^73+22x^74+4x^75+9x^76+4x^77+5x^78+2x^79+3x^80+3x^82+1x^84 The gray image is a linear code over GF(2) with n=248, k=13 and d=106. This code was found by Heurico 1.16 in 4.13 seconds.