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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+570x^156+72x^158+1062x^159+216x^160+342x^161+1594x^162+450x^163+2268x^164+2256x^165+1404x^166+3870x^167+2070x^168+810x^169+738x^170+666x^171+36x^172+480x^174+336x^177+254x^180+168x^183+6x^186+12x^189+2x^225

The gray image is a code over GF(3) with n=747, k=9 and d=468.
This code was found by Heurico 1.16 in 58.3 seconds.