The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 X 2X 1 1 1 2X 0 1 1 1 1 1 0 1 X 1 X 1 2X 1 1 0 1 1 1 1 1 1 1 X 1 X 2X X 1 1 1 1 1 2X 1 1 0 1 2X 1 1 1 2X 1 1 1 X X 1 0 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 X+2 1 2X+1 X+2 2X+2 1 1 2X+1 X+1 2 1 1 1 2X+2 2X+2 X+1 2X+1 1 2X+2 1 2X+1 2X 0 1 2 2 1 1 X+1 1 2 1 X+1 0 1 2X+1 1 1 1 2X 0 X+2 X 2X+1 1 X+2 2X+2 1 X+2 1 2X+2 0 2X+1 1 X 2 2X+2 1 1 2X 2X 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 2X+2 X 2 X+2 X+2 2X X+2 2X 1 0 X+1 2X+1 X+1 0 2X 0 X X+1 2X+1 2X+2 1 1 1 1 1 2X 2X X+2 X 2X+1 X+2 2 2 1 0 2X X+2 X+1 2X X 2X+2 2X+1 2X+2 X+1 X+2 2X+2 2X 2X+2 0 2 0 X+1 X X 0 X 2X+1 2 2X+2 1 1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 X+1 2X+2 2X X+2 0 X+1 1 X 2X+1 X+1 2 1 X+2 X 2X+2 2 X+1 2X X+2 X 2X+2 2 1 2X+2 2X 2X+1 2 2X 1 X X 1 2X X X+1 2 2 X+1 1 X+1 2 1 X 0 X 2X+2 2X 2X+1 2X+1 X+2 X+1 2X 2 1 2 2X+2 0 2X 2X X X generates a code of length 75 over Z3[X]/(X^2) who´s minimum homogenous weight is 141. Homogenous weight enumerator: w(x)=1x^0+768x^141+1318x^144+1116x^147+924x^150+808x^153+582x^156+444x^159+330x^162+156x^165+96x^168+18x^171 The gray image is a linear code over GF(3) with n=225, k=8 and d=141. This code was found by Heurico 1.16 in 89.8 seconds.