The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 1 0 1 1 X 1 0 X^2 1 1 1 X^2+X 1 0 1 1 1 1 1 X^2+X X 1 X 1 1 X X^2 1 1 1 X 1 X^2 1 1 X^2 1 X 1 1 1 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 X^2+1 1 X^2 X+1 1 X^2+X 1 1 X^2+X+1 X 1 1 X^2+X+1 1 0 X+1 1 X^2+X+1 X 1 1 X^2 1 X^2+X X^2 1 1 X^2+X 0 X^2+1 X^2 X^2+X 1 X^2+X+1 X^2 0 X^2 X^2 1 0 0 X 1 1 X^2 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X^2 0 X^2+X 0 X^2+X X^2 0 X X X X 0 X^2+X X^2+X X^2 0 X^2+X X^2 X^2+X X^2 X^2+X X X 0 X^2 0 X X^2+X X^2 X^2 X^2+X 0 0 0 0 X X X^2+X 0 X^2+X X^2 0 X^2+X X^2+X X^2+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 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 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+24x^49+100x^50+186x^51+320x^52+378x^53+549x^54+590x^55+729x^56+876x^57+808x^58+888x^59+697x^60+616x^61+469x^62+328x^63+258x^64+140x^65+96x^66+46x^67+30x^68+14x^69+19x^70+10x^71+11x^72+4x^74+1x^76+3x^78+1x^80 The gray image is a linear code over GF(2) with n=232, k=13 and d=98. This code was found by Heurico 1.16 in 3.46 seconds.