The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X 1 0 1 X 1 2X^2 1 1 X 1 1 0 X X 1 X 1 X 0 X 0 0 2X 2X^2+X X 2X^2+2X 2X X^2 2X^2 2X^2+X 2X^2+X 2X^2+2X 2X 2X^2 X^2+X 2X^2+2X X 2X^2+X X 2X X^2 X^2+2X 0 2X^2+X 2X^2+2X X X 2X^2 X X^2 X^2+X 2X^2+X X X^2 2X^2+X 2X^2 2X^2+X 2X^2 2X^2 0 2X^2+2X 0 2X X^2 X^2+2X 2X^2+2X 0 2X 2X^2+2X 2X 2X^2 2X^2+2X 2X^2+2X 2X 0 X^2+2X X X 2X 2X^2+2X X^2 X^2+X X^2 2X^2+2X X^2+X 2X 2X^2+X X X^2+X X^2+2X 2X X^2+X 2X 2X^2 X^2 X^2+X X 0 0 2X^2+X X X^2 0 2X^2+X 2X X^2+2X X X^2 2X^2+X X^2+X X^2+X 2X^2+X 2X^2+2X 0 0 X 2X X^2 2X^2+2X X 2X^2+X X^2+2X 2X^2+2X 0 2X^2+2X X^2 2X X^2 X X X^2+X 2X 0 X^2+X 2X 2X^2+2X X^2+X X^2+X 0 2X^2 2X^2+2X X 0 X^2 X^2 2X^2+X X^2+2X X^2+X X 2X 2X 2X^2 2X^2+2X 2X^2+X 0 X^2 2X^2+X 2X 2X^2 2X 2X^2+2X X^2 2X^2 X^2 X^2+X 2X^2+2X 0 X X^2+X X 2X^2 0 X^2+X X 2X^2+2X 2X X^2+X 0 X 2X X 0 X^2+X X^2+X 2X^2+2X 2X^2+2X X^2 X^2+X X X X^2 2X^2 2X^2 2X X X^2+X X^2+X 2X^2 2X^2+2X 2X^2+X 0 X^2+2X X^2+2X 0 X^2 2X^2+2X 2X 2X^2+2X 0 0 0 X^2 0 0 0 0 0 0 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 0 2X^2 X^2 0 0 2X^2 X^2 2X^2 X^2 0 X^2 X^2 0 0 X^2 0 2X^2 0 0 0 2X^2 X^2 2X^2 X^2 0 2X^2 X^2 X^2 2X^2 X^2 0 X^2 X^2 2X^2 2X^2 2X^2 2X^2 X^2 0 2X^2 0 0 X^2 X^2 0 0 2X^2 0 0 2X^2 2X^2 2X^2 0 2X^2 X^2 0 X^2 0 X^2 0 2X^2 2X^2 0 0 X^2 generates a code of length 95 over Z3[X]/(X^3) who´s minimum homogenous weight is 183. Homogenous weight enumerator: w(x)=1x^0+464x^183+90x^184+252x^185+494x^186+414x^187+918x^188+402x^189+432x^190+1296x^191+348x^192+450x^193+450x^194+124x^195+72x^196+82x^198+122x^201+78x^204+44x^207+20x^210+6x^213+2x^252 The gray image is a linear code over GF(3) with n=855, k=8 and d=549. This code was found by Heurico 1.16 in 37.4 seconds.