The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1 15 12  1  1  3  1  1  1  1  1  9  1  1  1  1  1  1  1  3  1  6 12  1 15 24  1  1 24  3  1  1  1 15  1  9  1  1  1  1  1  1 24  3  6  1  1 21  1  1  1 18  1  1  1  9  1  1
 0  1  0  0 18  1 19  1 18  0 26 23 22 24  1 12  2  1 12 10  7  8 14  1  2  3 14 23 16 22 21  1  6  1  1 23  1 15 13 23  3  1 11 11 11  1  3  1 13  8 25  9  7  3  9  9  1 24  6  1  7 13 24 24 24  5 10  0 18  9
 0  0  1  0 16 25 14  7  4 23 12 13 11  1  5 20  8 18  0 22  6 10  6 13 24 17  8  1 11 15  1 25 12 24  2  5 26  1 21 20  1 13 21 20  9 11 22 14 23  9  3 18 19 24  3  1 20  7 26 21  1  1  4  1 24 14  9  1 25 18
 0  0  0  1 14  9  5  5 22 24  1  6 16 23  2  5 13  4 20  7 17  2  2  1  0 16 26 10  6 13 18 21  4 20 25  3 12 19 15 21  7 14  2 13 25 19  6 15 25 24  3  4 15 12  1 18  8 11 19 12  3 17  4 25  5  8 16 19 20  9

generates a code of length 70 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+576x^128+938x^129+3762x^130+5898x^131+8376x^132+12456x^133+16500x^134+21886x^135+30996x^136+34566x^137+43322x^138+49752x^139+52266x^140+53930x^141+52284x^142+43680x^143+34642x^144+28038x^145+16626x^146+10198x^147+5802x^148+3054x^149+868x^150+498x^151+258x^152+54x^153+60x^154+36x^155+10x^156+48x^157+36x^158+6x^159+12x^160+6x^161

The gray image is a code over GF(3) with n=630, k=12 and d=384.
This code was found by Heurico 1.16 in 591 seconds.