The generator matrix

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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+90x^129+204x^130+654x^131+1074x^132+1218x^133+1830x^134+3298x^135+2694x^136+3762x^137+5568x^138+4572x^139+5766x^140+8112x^141+4680x^142+5028x^143+4604x^144+2028x^145+1482x^146+1000x^147+366x^148+348x^149+184x^150+174x^151+72x^152+62x^153+66x^154+12x^155+38x^156+24x^157+8x^159+12x^160+16x^162+2x^171

The gray image is a code over GF(3) with n=630, k=10 and d=387.
This code was found by Heurico 1.16 in 11.1 seconds.