The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 0 1 1 1 1 X 0 1 1 1 X 0 1 1 1 1 1 1 2X 1 2X 1 2X 1 1 1 2X 0 0 1 1 2X X 1 1 1 1 0 1 1 1 1 1 X 1 1 0 0 1 1 1 1 X 1 X 1 X 1 1 1 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 2X 1 1 0 1 0 X+2 2X+2 2X+1 1 2 2X X+1 X+2 1 1 2X+2 X+1 X+2 X 1 X+1 2X+2 X+1 2X+1 2X 2X+1 1 X+1 1 0 1 2 X 1 1 1 0 2 2X 1 1 2X 0 2X 2 2X X+2 X 2 2X+2 1 1 X+2 X+1 1 1 X+1 0 2X X+1 0 X+2 1 2 1 X+2 2X+1 0 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 2X+1 1 2X+1 X+1 X+2 1 2X+2 2X 2X X 2X+1 2X+2 2X+2 0 X+2 1 X+2 2X+1 2X+2 1 2X X X+1 2X+1 X+2 2X X X+2 X+1 0 X+2 X+1 X+1 0 X+1 2X+1 X 1 2X+2 X+1 2 2X+2 0 1 2X+1 0 1 X+2 X+2 2X+1 1 0 X 2X+1 2X+2 X+2 2 2 2X+1 2X+2 X+1 1 2X 2 X+1 2 2X 2X+1 2X 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 2X 0 0 0 X X X X 0 0 0 X 0 2X 2X 2X 0 2X 2X X X 2X X X X 0 0 X 0 2X 0 0 X 0 X X X X 0 2X 0 X X X 0 0 0 0 X X 0 2X X 0 X X 2X 0 0 2X X 2X X 2X 2X X 0 2X X generates a code of length 92 over Z3[X]/(X^2) who´s minimum homogenous weight is 177. Homogenous weight enumerator: w(x)=1x^0+390x^177+638x^180+366x^183+312x^186+140x^189+66x^192+90x^195+104x^198+48x^201+18x^204+6x^207+6x^210+2x^216 The gray image is a linear code over GF(3) with n=276, k=7 and d=177. This code was found by Heurico 1.16 in 0.251 seconds.