The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 0 2X 1 1 1 1 1 1 X 1 1 2X 1 X 1 2X 1 1 1 1 1 1 X 1 1 1 1 1 1 2X 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 2X+2 2X+1 X+1 2 X+2 1 1 2X+2 1 2 2X+2 1 2X+1 1 2X+2 2 1 0 1 X 1 X+1 0 X+2 2 2 2X+2 1 2 X 1 X+2 0 1 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 1 0 X+1 2X+1 2X+2 2 2 2 1 2X 2X+2 2X+2 2X X+1 X X+1 2X+2 2X+1 2X+1 2X+2 0 X 1 2X 2 X 2X+1 2X 1 0 2X+1 0 2X X 2X+2 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 2X+1 X+1 2X 2X X+1 2 2X+1 2X 1 X+2 2 0 2X 1 X+1 2X+2 2X 1 0 X 1 2 X+2 2 0 2X 2X+2 X+1 0 2X X+2 0 2X+2 1 X+2 generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 91. Homogenous weight enumerator: w(x)=1x^0+252x^91+384x^92+146x^93+432x^94+588x^95+142x^96+594x^97+564x^98+126x^99+504x^100+348x^101+104x^102+438x^103+462x^104+94x^105+402x^106+342x^107+62x^108+216x^109+150x^110+38x^111+66x^112+66x^113+16x^114+12x^115+12x^116 The gray image is a linear code over GF(3) with n=150, k=8 and d=91. This code was found by Heurico 1.16 in 13.1 seconds.