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 1 1 1 1 1 1 1 X 1 0 X 1 0 0 X 1 0 X X X^2 X 1 X X 0 0 1 X X 0 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X^2 0 X X^2 X^2+X X X X^2 X X X 0 X^2 0 X^2 0 X^2 X X^2 X^2+X X^2+X X X 0 0 X^2+X X X X^2 X X X X^2 X X^2+X X^2+X 0 0 X X X^2 X^2+X X^2 0 0 0 X 0 0 0 X X^2+X X 0 0 0 X X 0 X X^2 X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X^2 X^2 X X X^2 X^2 X^2 X^2+X X X^2 X 0 X X^2 X^2+X X^2 X^2 0 X^2+X X X X^2+X X^2+X X 0 X^2 X^2+X 0 X^2+X X X X^2+X X 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X 0 X^2+X X^2+X X^2 X 0 0 X^2 X X^2 X^2 X^2+X 0 X X^2+X X^2+X X 0 X 0 X^2+X X^2+X 0 X X X^2 X X^2 0 X^2 X^2+X X X 0 X^2+X 0 0 X^2+X X^2+X X^2+X X^2 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2 X 0 0 X X^2 0 X^2+X X^2 X X X^2 X X X^2+X X 0 0 X X^2+X X^2+X 0 X^2+X X X^2+X X^2+X X X^2+X X^2 0 X^2 X^2+X 0 0 X^2+X X X X X 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 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 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 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 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 generates a code of length 58 over Z2[X]/(X^3) who´s minimum homogenous weight is 47. Homogenous weight enumerator: w(x)=1x^0+56x^47+152x^48+244x^49+326x^50+400x^51+444x^52+782x^53+909x^54+1128x^55+1461x^56+1414x^57+1671x^58+1630x^59+1448x^60+1192x^61+859x^62+644x^63+430x^64+388x^65+296x^66+192x^67+140x^68+74x^69+31x^70+44x^71+19x^72+2x^73+3x^74+2x^75+1x^78+1x^80 The gray image is a linear code over GF(2) with n=232, k=14 and d=94. This code was found by Heurico 1.16 in 17.4 seconds.