The generator matrix 1 0 0 0 1 1 1 1 2X 1 1 1 1 0 X 1 X 1 1 1 1 0 1 X 1 1 1 X 2X 0 1 0 0 0 1 2X 2 1 2X+1 X+2 2X X+2 1 X 2X+2 1 X+2 0 X+2 1 1 X+1 1 X X+1 2X+2 1 0 0 0 1 0 0 2 2X+1 2 2X X X+1 2X+2 2X+1 X+1 1 2 1 1 2X+2 2X+2 X+1 2X 0 X+2 0 2X+1 X+1 2X+2 1 0 0 0 1 1 X+1 2X+2 2X 2X+1 2 2X 2X+2 X+1 X 2 X+1 X+1 2X+2 X 2 2X+1 2 1 0 2X+2 X 2X+2 X+2 X+1 0 0 0 0 2X 2X X 0 2X 2X 2X 2X 0 2X 2X X X 0 2X X X 0 0 0 X X 2X X X generates a code of length 29 over Z3[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+324x^48+204x^49+306x^50+1056x^51+492x^52+702x^53+1790x^54+864x^55+888x^56+2480x^57+1098x^58+1182x^59+2728x^60+1038x^61+900x^62+1950x^63+612x^64+336x^65+542x^66+66x^67+60x^68+46x^69+12x^72+2x^75+4x^78 The gray image is a linear code over GF(3) with n=87, k=9 and d=48. This code was found by Heurico 1.16 in 2.21 seconds.