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  3  1  1  3  1  1  1  1  1  1  1  3  1  3  1  3  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0  9  0 18  9  0 18  9 18 18 18  9  9  0  9 18 18  0  0  0  9 18  9  9  9  0 18  9 18  9  0  9 18  0  0 18 18 18  0  9 18  0  0  0 18  0 18  0 18 18  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18 18  0  9  9 18  0  9  0 18 18 18  9  0 18 18 18  9  9 18 18 18 18  0 18  0 18  0  9  9  0  0  0  9  9  9 18  9  9  0 18  0  9  9  9  0  0  0  0 18  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0 18  0 18  9  0 18  9 18 18  9  9  9  9 18  0  0  0  9  0  0  9 18  9 18  0  9 18  9  9  0  0  9  0  0 18 18  0 18
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18  0  9 18  0 18  9  0  9  0  9  0 18 18  0  0 18 18  9  0  9 18  9  0 18 18 18  9  9  9  0  9  0 18 18  9  9 18  0  0  9  0  9 18 18  0  9  0  0  0  9
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  9  0  9  0  0  9  0  9 18  9 18  9  9  0  9  9  9  9 18 18 18  9  0 18  0  0  9  9  0  0  9  9  9 18 18  9  0 18

generates a code of length 72 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+90x^132+114x^135+104x^138+432x^140+86x^141+324x^143+4442x^144+486x^146+68x^147+216x^149+40x^150+34x^153+22x^156+34x^159+24x^162+14x^165+14x^168+2x^171+6x^174+6x^177+2x^201

The gray image is a code over GF(3) with n=648, k=8 and d=396.
This code was found by Heurico 1.16 in 0.556 seconds.