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

generates a code of length 69 over Z27 who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+282x^131+174x^132+36x^133+648x^134+374x^135+486x^136+696x^137+1152x^138+864x^139+912x^140+354x^141+72x^142+108x^143+70x^144+102x^146+30x^147+102x^149+12x^150+54x^152+10x^153+12x^155+6x^156+2x^162+2x^189

The gray image is a code over GF(3) with n=621, k=8 and d=393.
This code was found by Heurico 1.16 in 0.961 seconds.