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 3 3 1 1 1 1 1 0 1 3 1 1 1 1 1 3 1 1 1 3 0 3 1 1 3 3 3 0 1 3 1 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 9 3 6 15 9 24 0 21 18 24 3 3 9 21 24 12 0 12 0 9 3 6 21 15 12 15 12 18 24 6 9 15 21 3 24 21 18 21 0 21 3 24 12 15 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 18 9 0 18 18 9 18 18 18 18 18 0 9 18 9 9 9 9 18 9 9 18 0 18 0 9 18 18 18 0 18 9 18 0 0 18 18 9 9 0 18 9 9 0 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 9 0 9 9 18 18 9 18 0 0 9 9 9 0 18 18 18 18 0 18 0 0 18 0 18 0 0 0 18 18 9 18 9 9 9 0 18 0 18 9 9 18 9 18 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 9 0 0 18 18 18 0 18 18 0 0 9 18 9 0 18 9 18 0 0 9 18 9 18 9 18 0 9 18 0 18 18 9 9 0 18 9 18 0 18 9 9 0 0 18 0 0 0 0 0 9 9 0 18 9 0 0 9 9 18 18 9 9 0 18 0 0 18 9 9 9 9 0 9 0 9 18 0 9 9 0 0 18 9 0 9 18 18 18 18 18 9 0 18 18 18 0 0 0 0 9 0 18 18 18 18 18 9 9 18 9 9 18 9 generates a code of length 69 over Z27 who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+24x^125+238x^126+24x^127+150x^128+436x^129+138x^130+144x^131+1090x^132+234x^133+204x^134+3618x^135+294x^136+246x^137+5700x^138+282x^139+204x^140+4288x^141+252x^142+246x^143+896x^144+168x^145+144x^146+278x^147+66x^148+84x^149+108x^150+12x^152+58x^153+10x^156+10x^159+16x^162+2x^165+10x^168+6x^171+2x^177 The gray image is a code over GF(3) with n=621, k=9 and d=375. This code was found by Heurico 1.16 in 40 seconds.