The generator matrix

 1  0  1  1  1  1 21  1  1 24  1  1  1  0  1  1  1 18  1  1 24  1  1  1  1  1  1 21  1  3  1  1  1  1  1  1  1 15  1  1 24  1 12 12  1  9  1 15  1  1  1  1  1  1  1  1  1  1  1  1  1  1 18  1  1 21  9  0  1  1  9  1  1  1
 0  1  1 26 21 20  1 16 24  1 23  4  0  1 16 17 18  1 23  4  1  3 20 22 24 26  1  1 15  1 14  4 21 25 24 24 14  1 15 17  1 17  1  1  5  1 21  1 23 13  2 14 16  2 15 23 10  8 13 21 15 16  1  2 12  1  1 18  3  5  1 22  5 25
 0  0 24  0  0 18 18 18  9  0  0 18  6 15 15 12 12  3 15  6  6  3 24 21  6 15  3  6 12  3 12 18 24  3  6 18 21  3 12 21 15  0 12 24 24  0  0  9 15  9 12 24 18  3  9 18 24  6  9 12 21 12 12  0 15 15  3  3 18 12  9  3 21 21
 0  0  0  9  0  0  0 18  0  0 18  9  0  0  0  0  0 18  9 18 18  0 18  0  9 18  9  9 18  0 18  9  9  9  0 18 18 18 18  9  0  0 18 18  9  9 18  9 18  0  0  9  9  9 18 18 18  9 18 18  9  9  0  9 18  9  0  9  0 18 18  9  9  0
 0  0  0  0 18 18  9  9  9 18  9  0 18  0  9 18  0 18  0 18  9 18  0  0  0 18  9 18  0  0 18 18  9 18  0  0  0  0  9  9 18  9  9  0 18  0  9  9  9  9  0  9  9  0 18 18  9  0 18 18 18  0 18 18 18  9  9  0  0  9  0  9  0  0

generates a code of length 74 over Z27 who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+198x^137+278x^138+288x^139+1086x^140+1692x^141+2016x^142+2946x^143+3110x^144+4086x^145+4740x^146+4766x^147+6714x^148+6078x^149+4632x^150+5706x^151+3864x^152+2814x^153+1530x^154+876x^155+704x^156+72x^157+312x^158+132x^159+246x^161+68x^162+54x^164+12x^165+12x^167+2x^168+10x^171+2x^177+2x^186

The gray image is a code over GF(3) with n=666, k=10 and d=411.
This code was found by Heurico 1.16 in 11.9 seconds.