The generator matrix 1 0 1 1 1 1 1 1 18 1 21 1 1 0 1 15 1 1 1 1 24 1 1 1 1 1 1 1 12 1 1 24 1 1 1 1 1 1 1 1 3 3 1 1 1 18 1 1 1 15 24 18 15 18 24 12 1 1 1 0 12 1 1 21 1 21 1 0 1 1 26 18 17 0 25 1 20 1 4 26 1 23 1 16 23 18 19 1 11 15 14 24 1 2 22 1 21 16 1 4 11 3 2 14 15 19 22 1 1 21 6 14 1 25 0 4 1 1 1 1 1 1 1 16 22 7 1 1 11 26 1 13 1 20 0 0 24 9 21 12 6 3 3 18 0 0 15 15 18 21 15 6 24 0 15 9 12 3 0 21 6 21 24 18 9 18 15 12 21 3 15 6 9 24 3 18 24 18 12 21 24 12 3 24 9 6 18 24 6 21 0 6 18 18 3 0 3 9 21 6 24 generates a code of length 67 over Z27 who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+488x^129+570x^130+600x^131+986x^132+720x^133+384x^134+750x^135+486x^136+360x^137+572x^138+264x^139+108x^140+188x^141+42x^142+6x^144+12x^145+6x^146+2x^150+2x^153+12x^154+2x^165 The gray image is a code over GF(3) with n=603, k=8 and d=387. This code was found by Heurico 1.16 in 0.22 seconds.