The generator matrix

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

generates a code of length 71 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+504x^132+288x^133+648x^134+2016x^135+1566x^136+2574x^137+4500x^138+2916x^139+5562x^140+6030x^141+4482x^142+6480x^143+6452x^144+3780x^145+4500x^146+3162x^147+1512x^148+594x^149+708x^150+36x^151+54x^152+380x^153+168x^156+102x^159+34x^162

The gray image is a code over GF(3) with n=639, k=10 and d=396.
This code was found by Heurico 1.16 in 11.3 seconds.