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

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

Homogenous weight enumerator: w(x)=1x^0+608x^150+1022x^153+108x^154+1616x^156+648x^157+1458x^158+2968x^159+2754x^160+2916x^161+2836x^162+864x^163+632x^165+498x^168+372x^171+254x^174+100x^177+24x^180+2x^186+2x^225

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 45.4 seconds.