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

generates a code of length 72 over Z27 who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+426x^134+182x^135+36x^136+738x^137+550x^138+288x^139+1614x^140+1014x^141+864x^142+3744x^143+1694x^144+1152x^145+3600x^146+1152x^147+576x^148+738x^149+210x^150+366x^152+152x^153+210x^155+96x^156+162x^158+36x^159+36x^161+12x^162+24x^164+2x^165+6x^167+2x^189

The gray image is a code over GF(3) with n=648, k=9 and d=402.
This code was found by Heurico 1.16 in 59.5 seconds.