The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+408x^157+1266x^158+2732x^159+3378x^160+5772x^161+6276x^162+8070x^163+10428x^164+12360x^165+12750x^166+14550x^167+16406x^168+15954x^169+14706x^170+14248x^171+11802x^172+9210x^173+6904x^174+3774x^175+3186x^176+1338x^177+606x^178+414x^179+158x^180+90x^181+156x^182+50x^183+18x^184+60x^185+26x^186+6x^187+24x^188+8x^189+6x^191+6x^193

The gray image is a code over GF(3) with n=756, k=11 and d=471.
This code was found by Heurico 1.16 in 85.7 seconds.