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 1 1 1 X^2 1 1 1 1 X^2 0 X 1 X X X 0 0 X 0 1 0 1 X 1 X^2 0 X 1 X 1 X 0 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X X X 0 0 0 X^2 X^2+X X^2+X X^2 X^2+X X X^2+X 0 0 X^2+X X^2 X 0 X X^2 X X^2 X 0 X^2 X 0 X 0 X^2 X X^2 X^2 X^2+X 0 X X 0 X^2+X X^2 X^2 X^2 X^2+X 0 0 0 0 X 0 X X X^2+X 0 0 0 X X X 0 X^2 X^2+X X 0 X^2 X^2 0 0 X^2+X X^2 X X^2+X X^2 X^2+X X 0 X^2+X X X^2+X X^2+X X 0 X^2 X 0 X^2+X X^2 0 X^2+X X^2+X X^2 X X X^2+X X^2+X X^2+X X 0 X^2 X^2+X X 0 X 0 0 0 0 X X 0 X^2+X X X^2 X X^2 0 X X^2 X^2+X X X^2 X^2 X X^2+X X^2 X 0 X X^2+X X^2+X 0 X^2+X X 0 0 0 X^2+X 0 X^2 X^2+X X X^2 X^2+X 0 0 X X^2+X 0 0 X^2 X X 0 X X X X 0 X X X^2 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 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 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+54x^48+82x^49+166x^50+258x^51+336x^52+360x^53+450x^54+602x^55+689x^56+782x^57+776x^58+740x^59+643x^60+620x^61+472x^62+340x^63+250x^64+170x^65+152x^66+90x^67+60x^68+28x^69+28x^70+18x^71+13x^72+6x^73+2x^74+1x^76+2x^78+1x^80 The gray image is a linear code over GF(2) with n=232, k=13 and d=96. This code was found by Heurico 1.16 in 4.83 seconds.