The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1 15 12  1  3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 12  1 24  3  1  1  0  6  0 18  3 24  1 24  1  1  1  1  1 12  1  1  1  1  1  1  1  1  6  1  6 18  1 21  1 18  1  1  1
 0  1  0  0 18  1 19  1 18  0 26 23 22 24  1 12  1  2 12 10  2  8  3  8 21 14 13 14  3 16 13  7 25  1  8  1 15 13  5  3  1  1  1  1  1 10  1  2 12 10  9 12  1 23  3  9 16  8 10 21 14  1  7  1  3  1 24 11 21 15 18 21
 0  0  1  0 16 25 14  7  4 23 12 13 11  1  5 20 18  8  0 22  6 10 24  0  8 11  9 17 19 19 12 20  6 16  7  6  1 13 10  1  8  5  3 23 19 24 20 14 17  9 23 13  7 24  3 15 18 24  0 18 10 21 23 18  1 14  1 15  1 14  0  6
 0  0  0  1 14  9  5  5 22 24  1  6 16 23  2  5  4 13 20  7 11  2 22  3 10 12 23  8  0 26 15  9  1 15  7 20 10 21  8 19  3 17 16 10 24  0 18 17 23 19  9  1 10 11 11  7  9 12  8 12  5 20  5 15 23  4 16  8 13 10 23  6

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

Homogenous weight enumerator: w(x)=1x^0+458x^132+1260x^133+3618x^134+6082x^135+9360x^136+12966x^137+16746x^138+23280x^139+29256x^140+33604x^141+43344x^142+50136x^143+49900x^144+53370x^145+53532x^146+42392x^147+35826x^148+25962x^149+17568x^150+11412x^151+5982x^152+2820x^153+1404x^154+666x^155+226x^156+24x^157+78x^158+30x^159+36x^160+42x^161+30x^162+18x^163+12x^164

The gray image is a code over GF(3) with n=648, k=12 and d=396.
This code was found by Heurico 1.16 in 609 seconds.