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

generates a code of length 64 over Z27 who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+118x^117+102x^118+156x^119+450x^120+210x^121+330x^122+616x^123+612x^124+582x^125+3052x^126+1506x^127+2334x^128+5506x^129+1530x^130+600x^131+518x^132+192x^133+150x^134+306x^135+84x^136+102x^137+200x^138+78x^139+96x^140+90x^141+42x^142+24x^143+76x^144+18x^145+2x^180

The gray image is a code over GF(3) with n=576, k=9 and d=351.
This code was found by Heurico 1.16 in 2.15 seconds.