The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2X 3 1 1 1 X+6 0 6 1 1 1 1 1 2X+6 1 2X+3 1 1 1 1 1 X 1 1 X 1 1 2X 1 1 3 2X+6 1 1 1 1 1 3 1 X+3 1 1 1 2X+6 6 1 1 X+6 6 X+6 3 0 1 0 0 3 2X+7 5 X+7 2X+4 2X+5 2 1 1 X+3 1 X+8 1 1 1 X+5 X+5 2X+6 2X+6 1 2X 2X+1 6 2 3 X+7 X 0 1 X+8 7 1 7 8 1 2X+1 4 1 1 2X+3 2X 2X+2 2X+8 X+4 X 0 1 X+8 1 2X+8 1 1 X 2X+8 1 X+6 1 2X+6 0 0 1 2X+7 5 2 X+5 7 0 2X+4 X X+1 5 2X+3 2X+1 2X+1 3 2X+8 X+1 5 2X+6 7 X+5 X+3 1 2X+8 1 2X+3 2X X+6 8 7 X+3 1 X+8 5 X+1 8 2X+8 X+7 X+8 1 2X X+7 2X+5 6 5 6 1 2X+3 X+2 X+5 X+7 X+6 2X 2X+4 3 X+8 X+1 1 4 1 0 0 0 6 6 6 6 6 6 6 6 0 0 6 0 3 3 3 3 3 0 0 3 3 3 3 6 3 3 0 3 3 6 0 3 0 0 0 6 3 0 6 6 3 0 0 0 3 3 0 6 6 6 6 0 6 6 0 3 0 0 3 generates a code of length 62 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 116. Homogenous weight enumerator: w(x)=1x^0+684x^116+1430x^117+1404x^118+3906x^119+4054x^120+3294x^121+6384x^122+6014x^123+4590x^124+7020x^125+5398x^126+3618x^127+4740x^128+2916x^129+1080x^130+1386x^131+784x^132+108x^133+120x^134+38x^135+30x^137+14x^138+24x^140+6x^141+6x^143 The gray image is a code over GF(3) with n=558, k=10 and d=348. This code was found by Heurico 1.16 in 6.97 seconds.