The generator matrix 1 0 1 1 1 1 X+6 1 1 2X 1 1 1 0 1 1 X 1 6 2X+6 1 1 1 1 1 1 2X X 1 1 1 1 2X+6 1 6 1 1 1 X 1 1 1 0 1 1 8 X+6 X+5 1 2X 2X+8 1 2X+7 X+1 0 1 2X 2X+1 1 X+8 1 1 X+7 1 5 X+6 X+8 2X+5 1 1 5 2X+5 2 X+2 1 X+6 X X+3 2X+8 X+5 1 2X+6 7 X+1 0 0 2X 0 6 6 6 0 6 6 2X+6 2X 2X+3 2X 2X+3 X X+6 X+6 X+6 X+3 X X+3 X+6 2X+6 X+3 X+6 2X+6 X+3 X+3 X+6 3 6 X+6 2X+3 2X X+6 2X 2X+6 6 0 3 2X 0 0 0 3 3 0 6 6 6 3 6 3 6 3 0 6 6 3 3 0 0 3 6 3 0 3 3 0 0 6 0 6 3 6 3 6 0 6 3 0 6 0 generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+270x^77+386x^78+864x^79+1116x^80+1550x^81+1788x^82+2550x^83+2582x^84+2334x^85+2064x^86+1794x^87+1284x^88+630x^89+212x^90+30x^91+96x^92+22x^93+6x^94+78x^95+10x^96+12x^97+2x^99+2x^108 The gray image is a code over GF(3) with n=378, k=9 and d=231. This code was found by Heurico 1.16 in 6.62 seconds.