The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 2X 1 1 X 1 1 1 1 0 1 1 X 1 1 1 2X 0 X X 1 1 1 1 X 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 2X 0 1 1 1 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 X+2 2X+1 X+1 2 1 2X+1 2X+2 1 2X+1 X+1 2 2X+2 1 2X+2 X+2 1 X+2 2 X+1 1 1 0 1 X X+1 0 X 2X 2X+2 2X+1 1 1 2X 2X+1 2 0 2X 1 0 1 2X+2 1 2X X 1 X+2 X X+1 X+1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 2X+2 2 1 X+2 X+1 2X X+2 0 1 2X+1 X+1 2X+1 2X+1 0 X 2X+1 2X 1 0 2 X+2 1 2 X+1 2X+2 X+2 2X 1 X 2X+1 2X X 1 2 X 2X+2 2 X 1 2X+1 2X+2 X+1 1 1 X+2 X+1 1 2 X 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 X+1 2X 2X+1 X+2 2X+1 X 0 X+1 2X+2 X 0 X+1 2X+2 1 X 2X 2 2 2X+2 X+2 2X+1 X+2 0 X+1 1 2X 2X+2 X+1 X+2 2 1 2X X 2X+1 X 2X+2 1 1 1 0 X+2 2X+2 X+2 X+1 X+2 X+2 X 2X 0 generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 118. Homogenous weight enumerator: w(x)=1x^0+132x^118+204x^119+388x^120+294x^121+372x^122+578x^123+318x^124+312x^125+470x^126+384x^127+330x^128+364x^129+306x^130+258x^131+324x^132+198x^133+198x^134+234x^135+114x^136+144x^137+172x^138+114x^139+72x^140+76x^141+60x^142+30x^143+66x^144+18x^145+24x^146+6x^148 The gray image is a linear code over GF(3) with n=192, k=8 and d=118. This code was found by Heurico 1.16 in 0.641 seconds.