The generator matrix

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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 156.

Homogenous weight enumerator: w(x)=1x^0+66x^156+78x^157+336x^158+766x^159+1140x^160+1260x^161+2456x^162+3912x^163+2154x^164+4206x^165+5322x^166+3240x^167+5534x^168+7608x^169+3480x^170+5512x^171+5262x^172+1890x^173+2024x^174+1254x^175+486x^176+354x^177+84x^178+150x^179+80x^180+60x^181+54x^182+88x^183+42x^184+42x^185+42x^186+24x^187+24x^188+6x^189+6x^191+4x^192+2x^210

The gray image is a code over GF(3) with n=756, k=10 and d=468.
This code was found by Heurico 1.16 in 13.8 seconds.