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

generates a code of length 67 over Z27 who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+192x^124+324x^125+86x^126+534x^127+612x^128+540x^129+1302x^130+942x^131+1398x^132+2946x^133+2154x^134+2360x^135+2760x^136+1068x^137+568x^138+474x^139+318x^140+40x^141+222x^142+264x^143+40x^144+168x^145+120x^146+62x^147+96x^148+18x^149+42x^151+12x^152+6x^153+12x^154+2x^177

The gray image is a code over GF(3) with n=603, k=9 and d=372.
This code was found by Heurico 1.16 in 2.23 seconds.