The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 0 1 0 1 1 1 1 2X 1 1 1 1 0 1 1 2 0 2X+1 2 1 2 2 0 1 2X+1 1 0 1 X X+2 2X+2 2 1 X 2X+1 2X 0 0 0 2X 0 0 2X 0 X X 2X 0 2X X 0 2X X 2X 0 X X X X 2X 2X X 0 0 0 X 0 2X 2X 2X 2X 0 X X X 0 X X 2X 2X 0 2X 0 X 2X X 2X 0 0 0 0 X X X 0 2X 2X 2X 0 0 X X X 2X 2X X 0 0 X 0 2X 0 generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+54x^42+54x^43+66x^44+184x^45+78x^46+78x^47+290x^48+120x^49+180x^50+386x^51+144x^52+114x^53+222x^54+66x^55+48x^56+50x^57+24x^58+8x^60+16x^63+2x^66+2x^69 The gray image is a linear code over GF(3) with n=75, k=7 and d=42. This code was found by Heurico 1.16 in 0.0362 seconds.