The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  1  1  1 12  1 24 24  1  6  1  1  1  1  1  3  1  1  1  1  1  9 15  1 24  1  1  1  0  1 24  1  1 21  0  1  1  1  1  1  1  3  1 12  1  1  9  1  0 18 15  1  1  1  1  1  1  0  1  1
 0  1  0  0 18  1 19  1 18  0 26 23 22  7 12 25 17  1  6  1 12 15  1 24 23  5 26  6  3 20  7 10  4 14  1  1 20  1 11 22  1  1 13 18 21 18  1  1 26 10 12 16 19 18  1  6  1 13 25  9 15  1  1  1 23 11 20 19 17 12  1  9  0
 0  0  1  0 16 25 14  7  4 23 12 13 11 15 24 21 14 10 20 17  1 17  2 18 12 25 26 19  1  7 11 10 21 23 20  1 15  0  3 13  6  5  9  1 23  6 20 12  4  7  6 14 20  0  3  5  0 16  4  1  4 26 11  4 16 14 13  8 11 13  4  7 12
 0  0  0  1 14  9  5  5 22 24  1  6 16 13 17 21  2  9 19 17  7 14  1  4  5 26 22  0 11 10  6 26  8 12  6 13  9 26 25 10 12 11  2 25 19 11  1  4 21 16 19  0  4  6 12  9  1  5  8 21 23  6  9  0 13 20 16  8 23 12 19 22 21

generates a code of length 73 over Z27 who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+558x^134+1140x^135+3336x^136+6768x^137+8816x^138+12252x^139+19680x^140+23620x^141+26100x^142+39222x^143+41394x^144+42342x^145+58968x^146+50646x^147+44904x^148+48252x^149+35824x^150+24774x^151+20568x^152+11084x^153+5484x^154+3522x^155+1120x^156+582x^157+198x^158+76x^159+72x^160+36x^161+24x^162+30x^163+24x^164+6x^166+12x^169+6x^170

The gray image is a code over GF(3) with n=657, k=12 and d=402.
This code was found by Heurico 1.16 in 621 seconds.