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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+202x^153+614x^156+692x^159+162x^160+1980x^162+972x^163+4968x^165+1944x^166+4940x^168+1296x^169+792x^171+506x^174+288x^177+174x^180+78x^183+24x^186+24x^189+8x^192+12x^195+2x^198+2x^204+2x^225

The gray image is a code over GF(3) with n=747, k=9 and d=459.
This code was found by Heurico 1.16 in 3.33 seconds.