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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 X X 1 1 1 1 X 1 X 1 6 X 1 1 1 1 1 0 6 0 0 0 0 0 0 0 0 6 3 3 6 6 6 0 3 6 3 6 0 3 0 6 6 0 3 6 3 3 3 6 6 0 6 3 3 0 0 0 6 3 6 6 6 0 6 6 0 3 3 0 6 0 3 3 3 6 6 0 0 0 6 0 3 0 6 0 0 0 0 6 0 0 0 0 6 3 3 3 0 0 3 6 3 6 0 6 6 0 3 6 0 3 6 3 0 6 0 3 3 3 6 0 3 3 3 6 6 3 3 3 3 0 3 0 0 3 6 6 0 3 3 6 0 0 3 6 3 3 6 0 3 6 0 3 3 0 0 0 0 0 6 0 0 6 3 0 3 0 0 3 6 6 3 0 6 0 3 0 3 3 0 3 0 6 3 3 6 6 6 3 0 3 0 3 6 0 3 6 3 3 6 6 0 0 3 6 3 0 3 3 0 0 3 0 0 3 3 0 6 6 6 6 0 3 6 6 0 0 0 0 0 6 0 3 3 6 0 3 3 3 0 3 3 0 3 6 0 3 3 3 6 0 0 3 6 0 6 0 6 0 3 3 0 0 3 3 6 0 6 3 6 0 6 0 3 3 3 6 0 6 6 6 3 6 0 3 6 6 6 3 0 0 6 6 0 6 6 0 0 0 0 0 6 3 3 3 3 3 3 6 3 6 6 3 6 3 3 3 3 0 3 0 6 0 0 3 6 3 0 3 6 6 0 6 0 0 6 0 6 3 6 3 0 6 0 6 6 6 6 3 0 0 0 0 3 3 6 0 0 0 0 6 3 0 6 3 3 generates a code of length 70 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+26x^126+110x^129+24x^130+112x^132+126x^133+90x^135+216x^136+1530x^138+420x^139+2992x^141+360x^142+50x^144+270x^145+40x^147+42x^148+40x^150+32x^153+16x^156+12x^159+24x^162+12x^165+8x^168+2x^171+2x^174+2x^177+2x^186 The gray image is a code over GF(3) with n=630, k=8 and d=378. This code was found by Heurico 1.16 in 0.516 seconds.