The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 X 1 2X 1 1 1 1 X 1 1 1 0 0 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X 1 2X+1 1 X+1 X+2 2X 1 1 X X+1 X 1 1 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 X+1 X X+2 X+2 1 0 2X 2 X+2 2X X+2 2X+1 2X 2X+2 generates a code of length 25 over Z3[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+102x^46+162x^47+40x^48+102x^49+54x^50+22x^51+48x^52+66x^53+14x^54+54x^55+30x^56+18x^58+12x^59+2x^60+2x^66 The gray image is a linear code over GF(3) with n=75, k=6 and d=46. This code was found by Heurico 1.16 in 0.0444 seconds.