The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 0 X 0 0 0 0 0 X X 2X X 2X 3X 2X X X 0 0 0 0 X 0 0 0 X 3X 3X 0 4X 3X 2X 4X 2X 0 0 X 0 0 0 X 0 0 3X 3X 4X 4X 4X X 3X 0 2X X 4X 4X 0 0 0 0 X 0 3X 4X X X 3X 0 X 4X 2X 0 2X 0 0 0 0 0 0 X 3X X 2X 3X 0 3X 3X 4X X 2X 4X 3X generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+220x^50+764x^55+1128x^60+2500x^64+2240x^65+20000x^69+3380x^70+40000x^74+3644x^75+2736x^80+1232x^85+280x^90 The gray image is a linear code over GF(5) with n=90, k=7 and d=50. This code was found by Heurico 1.16 in 4.07 seconds.