The generator matrix 1 0 0 1 1 1 1 1 1 X 1 1 2X+6 1 6 1 1 2X+6 3 X+6 1 1 1 1 1 1 1 X+6 1 1 1 2X+3 X+6 2X+3 1 1 1 1 1 2X X+3 1 0 1 0 0 3 2X+7 8 X+7 2X+8 1 5 2X+7 1 X+5 1 2X 7 1 X 1 2X+1 6 2X+5 X+1 X+8 4 2X+6 X+3 X 2X+2 3 1 2X+6 1 X+5 2X+8 2X+4 4 2X+6 2X 1 X+2 0 0 1 2X+7 5 2X+6 3 2X+7 X+1 X+8 X+5 2X+5 2X+7 2 X+8 2X X+1 7 1 2X+3 X+8 7 3 2X+5 2X+4 7 8 1 0 2X X+5 X+3 1 2X+6 X+2 2 3 X X+3 1 X+4 X+1 0 0 0 6 6 0 0 0 3 0 6 3 6 3 6 6 6 3 6 3 0 0 6 6 0 3 0 3 3 3 3 3 6 6 3 6 3 0 3 3 3 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+822x^77+1760x^78+1854x^79+3594x^80+5402x^81+4698x^82+6474x^83+7958x^84+6534x^85+7236x^86+6110x^87+2844x^88+2088x^89+1284x^90+108x^91+168x^92+68x^93+24x^95+14x^96+6x^98+2x^102 The gray image is a code over GF(3) with n=378, k=10 and d=231. This code was found by Heurico 1.16 in 95.7 seconds.