The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 2X 2X 1 1 1 1 1 1 X 1 1 1 1 0 1 0 0 0 2X 1 1 2X+2 1 2 2X+1 X+2 X+1 1 2X X+2 1 1 2X+2 0 2X+1 2X+1 0 2X+1 1 2X 2X+1 2 X 0 0 1 0 0 0 0 X X X X 2X+2 2X+2 2X+1 X+2 2 X+2 X+1 X+2 X+1 2X+2 1 2 2 2X X+1 X+1 0 1 1 0 0 0 1 0 2X+1 1 2X+2 0 2 X+2 2 2X X 0 1 2X+1 X+1 1 2X X X 2X+1 X+2 0 2X+1 0 2X X+1 1 0 0 0 0 1 2X+2 X 1 X+1 2 2 2 2X+2 X+2 2X+1 2X+1 X+2 1 X+1 X+1 2X+1 X X+1 2X 2X+2 X+2 X+2 2X 2 1 generates a code of length 30 over Z3[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+156x^48+384x^49+690x^50+928x^51+1374x^52+1524x^53+1914x^54+3156x^55+2856x^56+3748x^57+4686x^58+3882x^59+5366x^60+5586x^61+4452x^62+4810x^63+4380x^64+3054x^65+2178x^66+1950x^67+918x^68+508x^69+330x^70+108x^71+66x^72+24x^73+12x^74+2x^75+2x^78+4x^81 The gray image is a linear code over GF(3) with n=90, k=10 and d=48. This code was found by Heurico 1.16 in 21.8 seconds.