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  6  1  1  9  1  9  1  1  1  3  6  1  1 24  9 15  1  9  1  9  1  0  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  1  0  4  1 25  1  2 14  6  1  1 15 10  1  1  1 15  1 23  1 20  3  0
 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 12  3  9  6  3  0  0 12 18  3  3  0 21  9 12 21 21 12 15 24  0 24 21
 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  6  0  0 18  3  6 15  3  0  9  6 21  6 18 21 18  9  3 24 12 12  6 21

generates a code of length 69 over Z27 who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+306x^128+548x^129+828x^130+1470x^131+2416x^132+2508x^133+2688x^134+4374x^135+4590x^136+4938x^137+7314x^138+6312x^139+5076x^140+5776x^141+3948x^142+2196x^143+1728x^144+606x^145+534x^146+242x^147+96x^148+192x^149+84x^150+24x^151+60x^152+98x^153+24x^154+18x^155+14x^156+18x^157+12x^158+4x^159+6x^161

The gray image is a code over GF(3) with n=621, k=10 and d=384.
This code was found by Heurico 1.16 in 10.6 seconds.