The generator matrix 1 0 1 1 1 1 1 1 18 1 1 21 1 1 1 1 1 1 3 21 1 1 1 1 24 1 1 1 1 1 15 0 1 15 1 1 1 18 1 18 1 1 1 3 1 1 1 1 1 1 1 1 0 1 1 21 12 0 1 1 3 1 6 1 1 1 1 6 1 6 1 0 1 1 26 18 17 0 25 1 20 4 1 23 21 24 5 15 1 1 1 11 11 24 13 1 22 26 23 12 22 1 1 16 1 21 9 19 1 19 1 16 9 8 1 26 15 14 20 13 12 24 19 1 0 11 1 1 1 21 3 1 9 1 21 15 6 13 1 9 1 0 0 0 24 9 21 12 6 3 3 18 0 6 18 0 15 24 12 21 12 0 3 15 9 18 6 3 24 12 12 24 3 15 6 9 6 3 0 12 12 9 18 15 3 15 0 18 15 6 6 9 24 9 24 18 12 18 9 18 24 15 24 12 24 3 0 6 9 12 18 15 24 generates a code of length 71 over Z27 who´s minimum homogenous weight is 137. Homogenous weight enumerator: w(x)=1x^0+264x^137+828x^138+792x^139+1002x^140+672x^141+396x^142+450x^143+410x^144+396x^145+378x^146+532x^147+198x^148+150x^149+60x^150+12x^152+2x^153+6x^155+2x^156+6x^161+4x^171 The gray image is a code over GF(3) with n=639, k=8 and d=411. This code was found by Heurico 1.16 in 0.294 seconds.