The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 2X+1 0 2 1 X+1 X X+2 0 2 1 2X+1 1 0 2 2X+2 1 2X+1 2X+1 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 X X 2X X X 2X X 2X 2X 2X 2X 2X 0 X 2X 0 X X 0 0 0 X 0 0 0 0 X 2X X 2X X 2X 2X 0 0 0 2X 0 2X 2X 2X 2X X X 2X 2X X X X 0 0 0 0 X 0 0 X 2X 2X X X 0 2X 2X 2X X 2X 2X 2X X X 2X 0 X 2X X 2X X 2X 0 0 0 0 0 0 2X 0 2X X 0 X X 2X 2X X 2X 0 0 0 X 2X X 0 X X X X 2X 0 0 0 0 0 0 0 0 0 X 2X 0 2X 2X X X 2X 2X X 0 2X X X X 0 0 0 0 X X X X 2X 2X generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+88x^48+24x^49+24x^50+202x^51+174x^52+294x^53+220x^54+522x^55+756x^56+292x^57+1554x^58+1770x^59+270x^60+2388x^61+2778x^62+192x^63+2394x^64+2106x^65+324x^66+1338x^67+906x^68+294x^69+354x^70+114x^71+144x^72+104x^75+44x^78+10x^81+2x^84 The gray image is a linear code over GF(3) with n=93, k=9 and d=48. This code was found by Heurico 1.16 in 2.42 seconds.