The generator matrix 1 0 0 1 1 1 1 1 0 1 1 2X 1 0 1 X X 1 1 2X 1 1 1 1 1 2X 1 1 1 1 0 1 0 1 0 2 1 2 1 0 2X+2 1 2X+1 1 2X 1 2X X+1 2 1 0 X 1 X 1 0 2X+2 X X X 0 0 1 2 1 2 1 0 2 2 2X+1 2X+1 2X 0 2X+1 1 1 2X+2 X+2 2 2X 2X+2 0 X+2 1 1 1 2X 2X+1 2X 0 0 0 2X 0 0 0 0 0 X 2X X 2X 2X X 2X X 0 2X X 0 X X X 0 2X 0 0 X 2X 0 0 0 0 2X 0 X X X 2X 2X 2X 0 2X 0 2X 2X 2X 2X 2X 0 X X 0 X 2X 2X 2X X X 0 0 0 0 0 X X 0 2X X X X 2X 2X 2X 0 0 X 2X 0 2X 2X 2X X 2X 2X X 2X X 2X 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+64x^48+102x^49+96x^50+542x^51+318x^52+330x^53+1246x^54+558x^55+654x^56+1960x^57+978x^58+1236x^59+2896x^60+1050x^61+1236x^62+2612x^63+840x^64+642x^65+1236x^66+432x^67+180x^68+286x^69+90x^70+56x^72+6x^73+32x^75+2x^78+2x^84 The gray image is a linear code over GF(3) with n=90, k=9 and d=48. This code was found by Heurico 1.16 in 2.08 seconds.