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

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

Homogenous weight enumerator: w(x)=1x^0+420x^132+1162x^135+36x^136+108x^137+1590x^138+378x^139+1944x^140+2982x^141+2052x^142+3564x^143+2936x^144+450x^145+216x^146+696x^147+504x^150+382x^153+138x^156+90x^159+26x^162+6x^165+2x^198

The gray image is a code over GF(3) with n=639, k=9 and d=396.
This code was found by Heurico 1.16 in 2.36 seconds.