The generator matrix

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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+330x^136+708x^137+1258x^138+1536x^139+1854x^140+2674x^141+3750x^142+3834x^143+5120x^144+5184x^145+4644x^146+6352x^147+6096x^148+4182x^149+4478x^150+2634x^151+1722x^152+1086x^153+564x^154+306x^155+128x^156+144x^157+144x^158+12x^159+90x^160+78x^161+30x^162+60x^163+12x^164+2x^165+18x^166+12x^167+6x^169

The gray image is a code over GF(3) with n=657, k=10 and d=408.
This code was found by Heurico 1.16 in 60.4 seconds.