The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  3  3  1  1  1  1  1  1  1  0  3  1  1  0  9  1
 0  3  0  0 24 21 15  3 24  9  3 21  6 21 18 18 24 24 21 15  9 15  3  9  3  0 24  9 15 21 18 15 18 21 12 18 21  0 24  3 15 18  3  6  9 21 12 24 24  6 12 15  3 18  0  0 21 21  3  3  6 24 21  6  3 15  9 12  0  6  3  0 18
 0  0  3 24  9  6 21  3  6 18  3 18 12 15  3 24 24 18  6 18  6 21  0  0 12 21 24 21  3  0  0  9  0  0  3 15 21 18 18  6 18 24 18  6 21 12 24  6 21 24 15 24 15 15 21 15 15  6  3 21 12 12 12 15 24  6  3  6  3 24  6  3 21
 0  0  0  9  0  0 18  9 18 18 18  9  9  9 18 18  0 18 18  9  0  0 18  9  0  9  9  0  9  0  0  0  9 18  0  9  9 18  9  9 18  0  9  0  9 18 18  9  0 18  0 18  0 18  0 18 18 18  0  0  0 18  9  0  9  9  9 18  9  9  9  0  0

generates a code of length 73 over Z27 who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+64x^138+150x^139+216x^140+142x^141+768x^142+306x^143+204x^144+1146x^145+1008x^146+100x^147+1566x^148+288x^149+98x^150+108x^151+18x^152+60x^153+72x^154+30x^155+26x^156+30x^157+72x^158+12x^159+42x^160+12x^162+6x^163+6x^164+8x^165+2x^198

The gray image is a code over GF(3) with n=657, k=8 and d=414.
This code was found by Heurico 1.16 in 0.437 seconds.