The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 0 1 1 1 1 0 X 1 0 1 0 1 1 1 X X 1 1 0 1 1 1 X 1 1 X X X 0 X^2 0 0 X 0 X 0 0 X X^2+X 0 X^2 X^2+X X 0 X X 0 X^2 X^2 X^2+X X 0 0 X X^2 X^2 X^2 0 X^2 X X^2 X^2+X X^2+X X X^2+X X^2 0 X^2+X X^2 0 X^2 X X^2+X 0 X X^2+X 0 X^2+X 0 X^2+X X^2 X^2+X X X X^2+X X^2+X X X X^2 0 0 X X 0 X^2+X X 0 X^2 X 0 X 0 X^2+X X^2 X^2+X X X X^2 0 X^2 0 X^2+X X^2 X^2 X X X X^2 X X^2 X^2+X 0 X^2 X^2+X X X^2 X 0 0 X 0 X^2+X X^2 X^2 X 0 X^2 X^2 X X X^2 X^2+X 0 0 0 X X 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 49. Homogenous weight enumerator: w(x)=1x^0+28x^49+84x^50+130x^51+171x^52+220x^53+210x^54+270x^55+389x^56+372x^57+399x^58+410x^59+339x^60+300x^61+249x^62+160x^63+89x^64+80x^65+63x^66+50x^67+25x^68+24x^69+12x^70+2x^71+9x^72+5x^74+2x^75+1x^76+1x^78+1x^82 The gray image is a linear code over GF(2) with n=232, k=12 and d=98. This code was found by Heurico 1.16 in 1.2 seconds.