The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 0 1 1 X 0 X 0 0 2X X+6 2X+6 X 2X X+6 6 0 X+6 3 2X X 2X 2X+6 X X+3 3 2X+6 3 X 2X+3 X+3 2X+3 2X X+6 2X 3 2X 6 X+6 X+6 X+3 6 X+6 X 2X 0 2X+6 0 0 X 2X 0 2X+3 X+3 X 2X+3 2X+6 X 6 X+3 2X+3 2X+3 6 3 X+3 X+3 2X+3 2X+3 3 0 2X+6 2X 0 X+3 X+6 2X+6 6 0 2X+6 X X X 3 2X+3 X 6 0 0 X+6 0 0 0 3 0 0 6 0 0 3 6 3 6 6 6 6 0 3 0 3 6 6 6 6 0 3 6 0 0 0 0 3 3 3 3 3 0 6 0 0 3 3 0 0 0 0 3 6 0 3 6 0 6 3 0 0 6 0 6 3 0 6 3 3 0 6 3 3 6 3 0 6 6 6 3 3 0 6 0 0 6 0 0 6 generates a code of length 42 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+420x^75+1056x^78+324x^80+1190x^81+2430x^82+1296x^83+4228x^84+4860x^85+1296x^86+1250x^87+808x^90+406x^93+104x^96+6x^99+4x^102+2x^105+2x^117 The gray image is a code over GF(3) with n=378, k=9 and d=225. This code was found by Heurico 1.16 in 2.43 seconds.