The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 X 2X 2X 0 X 2X 4X 4X 2X 4X 0 X 4X 0 X 0 0 X 3X 2X 3X 2X X X 3X 0 4X 4X 4X 2X X 3X 3X generates a code of length 18 over Z5[X]/(X^2) who´s minimum homogenous weight is 65. Homogenous weight enumerator: w(x)=1x^0+20x^65+52x^70+500x^72+40x^75+4x^85+8x^90 The gray image is a linear code over GF(5) with n=90, k=4 and d=65. This code was found by Heurico 1.16 in 0.000974 seconds.