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 1 1 1 1 X^2 X 0 0 0 0 0 X 0 1 X 1 X^2 X 0 X X 1 0 1 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X X^2 X X^2 X^2+X 0 X^2 X^2 0 X X^2+X X X^2 X^2+X 0 X X X X^2 X^2+X 0 0 X^2+X X^2 0 X X^2+X X 0 X^2 0 X X^2+X X X X^2 X^2+X X^2 X X X^2 X^2 X X X^2 0 0 X 0 0 0 X X^2+X X 0 0 0 X X X^2+X X^2 X X^2+X X^2 X^2+X X X^2 X^2 X^2 X 0 X^2+X 0 X^2 0 X^2 X X X X X X X X^2 X 0 X^2 X^2 X X 0 X^2 0 X^2+X 0 0 0 X^2 0 0 0 0 0 X^2+X 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X^2+X X^2+X X^2+X X 0 X X^2 0 X 0 X^2 X^2+X X^2 X^2+X X^2 X^2+X X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 0 X^2 X^2 X X^2+X X^2 X X X^2 X X X^2 X X^2 X^2 0 X X^2+X 0 X^2+X 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X X^2 0 X X^2 0 X X X^2+X X^2+X X X^2 X^2 X 0 X^2 X^2 X X 0 X^2 X 0 X X^2 X^2 X^2 X^2 X^2 X^2+X 0 X X^2+X X^2+X X^2 0 X^2 X X X^2 X 0 0 0 X 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 generates a code of length 59 over Z2[X]/(X^3) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+75x^48+128x^49+222x^50+288x^51+428x^52+552x^53+675x^54+872x^55+1155x^56+1340x^57+1632x^58+1738x^59+1466x^60+1534x^61+1135x^62+910x^63+720x^64+414x^65+334x^66+234x^67+216x^68+114x^69+91x^70+50x^71+33x^72+14x^73+4x^74+4x^75+2x^76+1x^78+2x^86 The gray image is a linear code over GF(2) with n=236, k=14 and d=96. This code was found by Heurico 1.16 in 18.1 seconds.