The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 X 1 1 1 1 0 1 1 X 1 1 1 X 1 1 1 0 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2 2X+1 1 1 X+2 0 2X+1 0 2X+1 2 1 0 2 2 X+1 X 1 2X 2X+1 0 1 1 0 X+2 X 1 X+2 X+1 1 X+2 1 2 X X 1 0 0 2X X 2X+1 2 1 2X+1 0 0 0 0 2X 0 0 0 0 0 0 2X X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 0 2X 0 2X X X X X X X 0 X 0 2X 0 X 2X 2X X X 0 X 2X X 0 X 2X X 2X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 2X X 2X X 0 X X 2X 2X X 0 X 0 2X X 2X X 0 2X X 0 X X 0 0 X 2X X 2X 0 2X X X X X 2X 0 2X 0 2X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2X 2X X 0 2X X 2X 0 2X X 2X 0 2X X 0 0 2X 2X 0 X X 2X 2X X 2X X 0 2X 2X 2X X X X X 2X 0 0 X 2X X X X 2X 0 0 0 0 0 0 2X 0 0 X 2X 2X X 2X 0 2X 2X 2X X 0 0 0 X X X 0 0 X 0 0 X X 0 0 X 2X 2X X 2X 2X X X 0 X X X X 0 X 2X 2X 2X X 2X 0 0 2X X 0 0 0 0 0 0 0 X 0 X 0 X X X 2X 2X 0 X 2X 2X 0 2X X 2X 0 0 2X X 2X X X 2X 2X 0 X 0 X 0 2X 2X X 0 0 2X 0 2X 2X 0 2X X 2X X X X 2X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 2X X 2X X X X X 2X 2X 2X X 0 X X 2X X X X X 0 2X 2X X 0 X X 2X X 2X X 0 2X X 0 X 2X 2X X 2X 2X 2X 0 X 2X X X generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+36x^93+160x^96+30x^97+6x^98+336x^99+174x^100+180x^101+418x^102+558x^103+708x^104+428x^105+1314x^106+1530x^107+538x^108+2496x^109+2934x^110+598x^111+3738x^112+4572x^113+632x^114+5352x^115+5616x^116+666x^117+5274x^118+5202x^119+670x^120+3900x^121+3420x^122+588x^123+2334x^124+1596x^125+500x^126+798x^127+432x^128+366x^129+228x^130+48x^131+302x^132+42x^133+176x^135+6x^136+66x^138+50x^141+22x^144+6x^147+2x^153 The gray image is a linear code over GF(3) with n=174, k=10 and d=93. This code was found by Heurico 1.16 in 47.3 seconds.