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

generates a code of length 73 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+58x^132+6x^133+66x^134+236x^135+102x^136+276x^137+716x^138+120x^139+432x^140+886x^141+228x^142+1236x^143+3814x^144+336x^145+1740x^146+3560x^147+228x^148+1248x^149+2258x^150+300x^151+630x^152+424x^153+102x^154+144x^155+282x^156+30x^157+48x^158+66x^159+6x^160+12x^161+22x^162+18x^165+18x^168+8x^171+12x^174+8x^177+2x^180+2x^183+2x^189

The gray image is a code over GF(3) with n=657, k=9 and d=396.
This code was found by Heurico 1.16 in 2.78 seconds.