The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  1 15  1  1  1  1  1  1  0  3  1  1  1  1  3  1  1  1  1  1 18  3  6 18  1  1 12 24  1  1 12  1  1  6 24  9 18  1  1  1  1  1  1  1  1 15  6  1  3  1  1  1  1  1  1  9  9  1  1  1  6 24  1  1 18  1  1
 0  1  0  0 18  1 19  1 18  0 26 11 17  1 13  1 22 14 24 24 21 20  1  0 23  3 11 16  1 15 14 14  7 25  1  1 12  1 25  1  1  1 15 12  1 15 18  1  1 12  1 12 10  9  5 17 15  1 25  1  9 13 24  5 12 19  2  8  7  1  1 16  6 19  1  1 26  6 21 17  0
 0  0  1  0 16 25 14  7  4 23 12 10 26 18  8  7 22 24  0  2 11 11 23  1 12  3 16  3 24 10 17  1 23  1 17 20  1  0  9 17 19  2 14  9  4 15 11 26 22  1 21 25  4 16 25 20  8  6 17 10  1  0 18 16  0 17 13  3 13  3 22  3 12  1 20 17 22 11  1 22 19
 0  0  0  1 14  9  5  5 22 24  1  6  3 12  4  4  2 11  1 23 22 25  6 22  3 14 20 13 20 18 17  7  9 19 22 17  5  7 20  5 21  1  6 16 19  2 17 23 14  3 25 10  8 12 20 16 26  6 25 21 19 12  1  3 19 15 25 20  6  3  1  7 11 16 21 26  7 18 14 26  3

generates a code of length 81 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+960x^150+1902x^151+4302x^152+7488x^153+10206x^154+14502x^155+19462x^156+22566x^157+28254x^158+37118x^159+37782x^160+45966x^161+51002x^162+46752x^163+48132x^164+44560x^165+35124x^166+27222x^167+20314x^168+11910x^169+7716x^170+4848x^171+1614x^172+714x^173+548x^174+216x^175+48x^176+24x^177+66x^178+30x^179+36x^180+18x^181+12x^182+20x^183+6x^185

The gray image is a code over GF(3) with n=729, k=12 and d=450.
This code was found by Heurico 1.16 in 699 seconds.