The generator matrix

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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+192x^127+252x^128+726x^129+744x^130+1398x^131+2672x^132+1674x^133+3594x^134+4604x^135+2556x^136+7314x^137+7270x^138+3042x^139+7224x^140+6192x^141+2400x^142+3072x^143+2078x^144+762x^145+354x^146+348x^147+150x^148+108x^149+96x^150+84x^151+12x^152+38x^153+54x^154+24x^156+6x^157+4x^159+2x^162+2x^165

The gray image is a code over GF(3) with n=621, k=10 and d=381.
This code was found by Heurico 1.16 in 11.4 seconds.