The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21  1 24  1  1  1 24  1  1  1  0  1  1 21  1 24  1  1  1  1  1 21  1  1  0  1  1  1  1  1  1  1  0  1  1  9  1  1  1  1  1  1  1  1 21  1  1  1  1  1  1  1  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1 21  1 23 24 19  1  4  0 26  1 16 21  1 19  1 24 12 20 16  4  1 24 21  1  0 23 23 26  4 19  0  1 24  9  1 26 18 18 16  6  6 21 16  1  9  0 19 25 13  4  8  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  9  0  9  0 18  0  0  0  0  9 18 18  0  0  9  0 18  0  9 18 18 18  9 18 18 18  9  9  9 18  0  9 18 18 18  9 18  0  0  9  0 18 18 18  9  9 18 18  0 18
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18  9 18  0 18  0 18 18  0  0 18  0 18 18  9 18  0  9 18 18  9 18 18  0  9 18  0  9  0  9  9  9  0  0 18  0 18  9  0  9  9  0  0  9  9  0  9  0  0  0  9 18 18 18  9
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  0  9  9  9 18 18  9 18  0  9  9  0 18 18 18  0  0 18  9  0 18  0  0  9  9  0  9  9  0  9  9  9  0  9 18 18  0 18  9  9  9 18  9  0  0  0  0 18  9 18  9 18  0  0
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  0 18  9 18  0  0  0  9  9  9  9  9 18  0 18  0  9  9  9  9  0  9  0  0  9  9  0  9  9  9 18  0 18  9 18 18 18  0 18  9 18  9  0  9 18  0  0  0 18  0  0  9  0 18

generates a code of length 71 over Z27 who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+56x^129+90x^130+162x^131+332x^132+504x^133+1116x^134+910x^135+1806x^136+2814x^137+2204x^138+4158x^139+6294x^140+3788x^141+6558x^142+8214x^143+4210x^144+5448x^145+4944x^146+1850x^147+1500x^148+1044x^149+334x^150+228x^151+174x^152+70x^153+90x^154+18x^155+24x^156+30x^157+6x^158+14x^159+14x^162+14x^165+14x^168+6x^171+8x^174+2x^183

The gray image is a code over GF(3) with n=639, k=10 and d=387.
This code was found by Heurico 1.16 in 11.6 seconds.