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 3 3 1 1 1 1 1 1 0 1 1 3 3 0 1 1 1 1 3 3 3 1 1 3 3 3 1 0 3 24 0 21 24 0 21 24 9 21 24 6 0 21 12 6 9 24 0 21 12 0 24 6 3 0 6 18 21 15 3 24 18 3 15 0 18 24 15 18 0 6 21 24 18 6 9 24 6 9 3 18 6 21 24 3 9 12 24 15 21 24 21 21 3 24 21 21 0 0 0 9 0 0 0 0 18 9 0 9 18 18 0 0 9 0 0 9 18 18 9 9 18 9 9 9 9 9 9 9 0 18 9 18 0 9 18 9 0 9 18 0 18 18 0 0 18 18 0 9 0 0 18 18 18 18 0 9 0 0 18 9 9 0 0 9 18 9 0 0 0 0 9 0 0 0 0 0 18 0 9 18 9 9 9 9 18 9 18 9 9 0 18 18 0 9 18 9 9 0 18 0 0 0 9 9 9 0 18 9 18 9 0 9 18 0 18 9 0 0 18 18 9 9 0 9 18 18 18 18 9 9 0 9 18 9 0 9 0 0 0 0 0 18 0 9 18 9 9 0 9 18 0 18 0 18 0 18 18 0 0 18 9 0 0 18 18 18 18 18 18 9 9 18 0 9 0 0 9 0 18 18 18 18 0 18 9 18 0 0 0 9 0 9 18 0 9 0 18 18 9 0 18 0 9 18 0 9 9 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 18 9 18 9 9 9 0 9 0 18 0 9 18 9 0 9 9 18 0 9 18 9 18 0 0 18 0 18 9 0 0 9 18 18 18 18 9 9 18 0 18 18 18 9 18 9 9 18 generates a code of length 70 over Z27 who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+32x^126+120x^128+202x^129+450x^131+360x^132+852x^134+720x^135+486x^136+1650x^137+1590x^138+1944x^139+2400x^140+1998x^141+1944x^142+1866x^143+1136x^144+1062x^146+204x^147+228x^149+148x^150+90x^152+64x^153+30x^155+40x^156+22x^159+14x^162+14x^165+10x^168+4x^171+2x^174 The gray image is a code over GF(3) with n=630, k=9 and d=378. This code was found by Heurico 1.16 in 2.62 seconds.