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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+80x^156+162x^157+198x^158+248x^159+324x^160+306x^161+902x^162+612x^163+510x^164+1714x^165+594x^166+330x^167+64x^168+156x^169+54x^170+22x^171+30x^172+18x^173+42x^174+36x^175+12x^176+64x^177+24x^178+18x^179+18x^180+6x^181+12x^182+2x^189+2x^231

The gray image is a code over GF(3) with n=738, k=8 and d=468.
This code was found by Heurico 1.16 in 0.574 seconds.