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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+72x^141+168x^142+246x^143+452x^144+390x^145+708x^146+762x^147+1056x^148+1638x^149+1340x^150+1800x^151+2616x^152+1480x^153+2028x^154+1944x^155+920x^156+534x^157+324x^158+188x^159+168x^160+138x^161+226x^162+84x^163+78x^164+76x^165+48x^166+36x^167+42x^168+24x^169+42x^170+16x^171+18x^172+6x^173+12x^174+2x^195

The gray image is a code over GF(3) with n=684, k=9 and d=423.
This code was found by Heurico 1.16 in 2.41 seconds.