The generator matrix 1 0 0 0 1 1 1 6 1 1 1 1 2X+6 2X+3 1 1 1 1 1 1 X+6 6 1 1 1 X+6 3 1 1 1 1 X 1 1 X+6 2X+6 1 2X 0 1 6 1 1 1 1 X 6 1 1 1 X 1 1 1 1 1 2X+3 X+6 2X+3 X 1 1 1 6 1 0 1 1 0 1 0 0 6 1 4 1 X X+3 2X+8 2X+5 1 1 X+5 2X+7 2X+3 X+2 6 X+7 6 1 2X+2 2X X+7 1 1 X+8 X+5 2X+4 2X+1 2X 4 X+6 1 1 X+7 1 1 X+1 1 2X+8 2X X+3 2 X+6 1 2X+3 X+4 6 1 2X+2 1 2X+1 7 2X+7 2X+6 1 1 1 2X+6 2X+4 3 X+6 7 1 X+8 3 0 0 1 0 2X+7 2X+1 X+5 2X+4 X+1 X+8 X+3 4 8 X+4 X+3 0 6 8 2 X+6 1 2X+3 X+8 X+6 6 2 4 4 X+8 2X+8 X+4 1 2X+5 5 0 2X+3 X+5 X+8 2 2X+1 2X+5 2X 2X+8 1 X+7 X+6 3 X+4 X+2 2X+3 2X+1 2 X X+2 2X+4 1 1 2X+4 6 2X+2 7 2X X+2 1 2X+5 X+8 X 6 0 0 0 1 2X+5 3 2X+2 2X+2 1 X+3 X+7 3 2X 2X+7 8 2X+6 2X+1 X+1 5 2X+7 2X+2 2X+4 X+5 X+2 2X+8 2 2X 2X+8 2X+6 7 X+7 2X+4 X 2X+7 1 X+5 X+1 4 X+3 8 8 3 X+7 4 7 1 2X+5 X+3 2X+8 X X+8 X X+7 X+3 X+6 X+2 2X+1 2X+7 X+6 2X+8 7 2X+2 2X+6 2X+7 X+1 X+2 2X+6 2X generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 124. Homogenous weight enumerator: w(x)=1x^0+330x^124+1008x^125+3332x^126+5262x^127+8742x^128+12004x^129+16602x^130+22080x^131+29994x^132+35988x^133+41754x^134+51538x^135+53862x^136+54222x^137+51284x^138+45216x^139+34182x^140+27490x^141+16722x^142+10470x^143+5376x^144+2196x^145+984x^146+402x^147+168x^148+42x^149+62x^150+60x^151+12x^152+26x^153+6x^154+6x^155+12x^156+6x^157 The gray image is a code over GF(3) with n=612, k=12 and d=372. This code was found by Heurico 1.16 in 567 seconds.