The generator matrix

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

generates a code of length 70 over Z27 who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+330x^130+618x^131+974x^132+1254x^133+2328x^134+2184x^135+3258x^136+4524x^137+4428x^138+4878x^139+7362x^140+5602x^141+5760x^142+5772x^143+3580x^144+2244x^145+1794x^146+784x^147+492x^148+252x^149+104x^150+126x^151+72x^152+34x^153+78x^154+90x^155+36x^156+42x^157+30x^158+10x^159+6x^160+2x^165

The gray image is a code over GF(3) with n=630, k=10 and d=390.
This code was found by Heurico 1.16 in 13.6 seconds.