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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+174x^133+372x^134+160x^135+390x^136+564x^137+526x^138+846x^139+720x^140+802x^141+768x^142+540x^143+166x^144+108x^145+66x^146+24x^147+60x^148+54x^149+6x^150+48x^151+96x^152+6x^153+24x^154+18x^155+8x^156+12x^157+2x^186

The gray image is a code over GF(3) with n=630, k=8 and d=399.
This code was found by Heurico 1.16 in 77.5 seconds.