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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+164x^135+144x^136+150x^137+480x^138+246x^139+318x^140+570x^141+486x^142+624x^143+3084x^144+1584x^145+2304x^146+5502x^147+1506x^148+630x^149+396x^150+126x^151+132x^152+282x^153+126x^154+108x^155+204x^156+84x^157+60x^158+168x^159+36x^160+36x^161+56x^162+36x^163+12x^164+24x^165+2x^171+2x^207

The gray image is a code over GF(3) with n=657, k=9 and d=405.
This code was found by Heurico 1.16 in 2.54 seconds.