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

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

Homogenous weight enumerator: w(x)=1x^0+210x^130+306x^131+158x^132+498x^133+738x^134+202x^135+660x^136+1662x^137+2006x^138+1098x^139+3420x^140+3772x^141+1080x^142+1914x^143+286x^144+300x^145+342x^146+54x^147+228x^148+156x^149+30x^150+162x^151+102x^152+24x^153+102x^154+66x^155+26x^156+30x^157+42x^158+6x^160+2x^192

The gray image is a code over GF(3) with n=630, k=9 and d=390.
This code was found by Heurico 1.16 in 2.3 seconds.