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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+474x^150+18x^152+1354x^153+306x^154+396x^155+1692x^156+1008x^157+1296x^158+2622x^159+1620x^160+1980x^161+2676x^162+1260x^163+684x^164+870x^165+180x^166+534x^168+334x^171+180x^174+150x^177+34x^180+12x^183+2x^207

The gray image is a code over GF(3) with n=720, k=9 and d=450.
This code was found by Heurico 1.16 in 2.78 seconds.