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 0 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 X 1 1 X 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2 2X+1 1 1 X+2 X 2X+1 2 0 1 2X+1 2 2X+1 1 0 0 0 1 X+2 2X 2X+1 1 0 2 2X+1 2X+2 1 X+2 1 X 2X 2X+2 2X+2 1 X X+2 X+1 2X+1 2 0 X+1 0 0 0 0 0 2X 0 0 0 0 0 0 2X X 2X 2X 2X 2X 0 2X 0 2X X 2X 0 X 0 0 0 0 2X X X 2X 2X X X 0 0 0 X 2X 2X 2X 2X 2X 2X 2X 0 X 2X 2X 0 X 0 0 X X X 2X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 2X X 2X X 0 2X 0 2X 2X X 2X 0 X X 0 2X 0 0 2X 2X 2X X 2X 2X 2X 2X 2X X X 0 X X 0 2X 0 2X X X 2X 0 0 2X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2X 2X X 0 X 2X X 0 2X 2X 0 2X X 2X X X 2X X 0 2X 0 0 X 2X 0 2X 2X 2X 2X 2X X 2X 2X 2X 0 2X 0 2X X X 0 2X 2X 0 0 0 0 0 2X 0 0 X 2X 2X X 2X 0 2X 2X 2X X 0 X X X 0 0 0 2X 2X 2X 0 2X 0 X 0 2X 2X 2X 2X 0 2X 0 2X 2X 2X 0 2X 2X 2X X 0 2X X X X 0 2X X X 0 0 0 0 0 0 X 0 X 0 X X X 2X 2X 0 X 2X 2X 0 0 0 2X X 0 2X X X X 2X X 2X 0 2X X 2X 0 0 2X 2X 0 X 0 0 0 X 0 X 0 X 2X X X 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 2X X 2X X X X 0 0 0 2X X X 2X X 0 0 X 2X X X X X 0 0 X 0 2X 0 0 2X 2X 0 X 2X 2X 2X 2X X 0 0 X X 2X 0 0 generates a code of length 57 over Z3[X]/(X^2) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+132x^93+24x^95+308x^96+6x^97+102x^98+618x^99+156x^100+216x^101+1170x^102+324x^103+696x^104+2130x^105+840x^106+1194x^107+3542x^108+1698x^109+1956x^110+5274x^111+2952x^112+2682x^113+5888x^114+2928x^115+2616x^116+5676x^117+2436x^118+1938x^119+3830x^120+1260x^121+1110x^122+2444x^123+438x^124+462x^125+1002x^126+84x^127+102x^128+396x^129+24x^131+222x^132+90x^135+48x^138+22x^141+6x^144+4x^147+2x^150 The gray image is a linear code over GF(3) with n=171, k=10 and d=93. This code was found by Heurico 1.16 in 47.3 seconds.