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 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 0 X^2 0 0 0 0 0 0 0 0 2X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 2X^2 0 0 X^2 X^2 2X^2 X^2 0 0 0 X^2 0 2X^2 X^2 2X^2 X^2 2X^2 X^2 2X^2 0 2X^2 X^2 0 2X^2 X^2 0 2X^2 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 X^2 2X^2 2X^2 0 0 X^2 X^2 2X^2 2X^2 0 0 X^2 X^2 2X^2 2X^2 0 0 X^2 X^2 0 X^2 2X^2 2X^2 2X^2 0 0 0 0 0 X^2 X^2 X^2 2X^2 2X^2 0 X^2 2X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 2X^2 0 X^2 2X^2 X^2 X^2 2X^2 2X^2 0 X^2 X^2 0 X^2 0 2X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 2X^2 2X^2 2X^2 X^2 0 0 2X^2 X^2 2X^2 0 2X^2 2X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 0 0 X^2 X^2 2X^2 X^2 2X^2 0 X^2 X^2 X^2 2X^2 0 0 0 0 X^2 0 X^2 2X^2 2X^2 X^2 2X^2 0 0 2X^2 2X^2 0 0 X^2 X^2 X^2 2X^2 X^2 X^2 X^2 2X^2 0 2X^2 X^2 0 2X^2 2X^2 2X^2 2X^2 0 0 X^2 2X^2 0 2X^2 0 0 2X^2 X^2 2X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 X^2 0 2X^2 2X^2 0 X^2 X^2 2X^2 X^2 X^2 0 2X^2 X^2 0 0 0 0 X^2 2X^2 X^2 2X^2 0 0 X^2 2X^2 0 0 X^2 2X^2 X^2 2X^2 0 0 0 2X^2 2X^2 X^2 X^2 X^2 0 0 0 0 X^2 2X^2 2X^2 0 2X^2 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 X^2 0 2X^2 0 X^2 2X^2 0 2X^2 0 X^2 0 X^2 X^2 2X^2 X^2 0 0 X^2 2X^2 X^2 X^2 2X^2 0 X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 0 X^2 2X^2 0 2X^2 2X^2 0 0 X^2 0 0 0 0 2X^2 0 0 X^2 2X^2 0 X^2 0 X^2 2X^2 2X^2 0 X^2 0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2 X^2 X^2 X^2 0 0 2X^2 0 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+32x^183+56x^186+44x^189+1944x^190+50x^192+32x^195+18x^198+8x^201+2x^285 The gray image is a linear code over GF(3) with n=855, k=7 and d=549. This code was found by Heurico 1.16 in 0.47 seconds.