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 X 1 X 1 1 1 1 1 1 1 1 1 X 1 0 3 0 0 0 0 0 0 0 0 0 0 0 6 3 3 6 6 3 3 6 0 3 3 3 3 3 6 6 6 3 0 0 6 0 3 0 0 3 0 0 0 0 0 0 0 3 3 6 3 6 3 6 0 3 3 3 3 0 0 6 3 6 0 6 3 6 3 3 3 3 6 0 0 0 3 0 0 0 0 3 6 6 6 3 0 6 0 0 3 3 3 6 3 3 0 3 6 3 6 6 6 6 6 3 0 6 6 0 0 0 0 3 0 0 3 6 0 6 3 3 6 6 3 3 3 0 3 0 0 3 0 3 0 6 6 3 0 3 0 6 6 6 6 0 0 0 0 0 3 0 6 6 3 6 6 0 3 6 6 0 3 6 0 6 6 3 6 0 0 3 3 6 0 3 0 0 0 6 0 0 0 0 0 0 0 3 6 6 6 3 0 3 0 6 6 3 6 0 0 3 6 0 0 0 6 3 3 3 6 6 3 0 3 6 6 generates a code of length 36 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+70x^57+188x^60+242x^63+384x^66+1224x^69+15308x^72+1562x^75+258x^78+198x^81+136x^84+58x^87+44x^90+8x^93+2x^99 The gray image is a code over GF(3) with n=324, k=9 and d=171. This code was found by Heurico 1.16 in 1.5 seconds.