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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+192x^157+306x^158+32x^159+420x^160+522x^161+224x^162+516x^163+1104x^164+1166x^165+888x^166+3036x^167+3568x^168+1350x^169+2856x^170+1464x^171+372x^172+348x^173+74x^174+198x^175+204x^176+16x^177+192x^178+168x^179+10x^180+132x^181+108x^182+2x^183+72x^184+72x^185+2x^186+36x^187+18x^188+6x^190+6x^191+2x^234

The gray image is a code over GF(3) with n=756, k=9 and d=471.
This code was found by Heurico 1.16 in 3.82 seconds.