The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X 1 X^2 1 1 1 1 0 1 1 X^2+X 1 X 1 1 1 1 0 1 1 X^2 X^2+X 1 0 1 1 X 1 1 X^2 1 1 1 1 X^2+X 1 1 X^2 X X^2+X 1 X 1 1 0 1 X^2 X 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 X^2+X+1 X^2 X^2+X+1 1 X 1 1 X^2+X 1 X^2+1 X+1 0 X^2+X+1 1 X^2+X+1 X^2+X 1 1 X 1 X^2+1 X^2 1 X+1 X^2 1 X^2+X+1 X^2+X+1 X 0 1 X^2+X+1 X^2 1 X^2+X 1 X^2+X+1 1 1 X 0 X X 0 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X X^2 X X^2 X X X^2 X^2 X X 0 0 X^2+X 0 X^2 0 X X^2 X^2+X 0 X^2+X 0 X 0 0 X^2+X X^2+X X^2 X^2+X X X X^2+X X^2+X X^2 0 X^2 X^2+X 0 X X^2+X X X X 0 X X X 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 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+146x^48+16x^49+298x^50+224x^51+687x^52+656x^53+886x^54+1312x^55+1418x^56+1936x^57+1420x^58+1856x^59+1343x^60+1264x^61+960x^62+672x^63+561x^64+224x^65+246x^66+32x^67+153x^68+26x^70+34x^72+4x^74+9x^76 The gray image is a linear code over GF(2) with n=232, k=14 and d=96. This code was found by Heurico 1.16 in 13.2 seconds.