The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+180x^157+216x^158+966x^159+990x^160+414x^161+1508x^162+1362x^163+630x^164+2700x^165+2076x^166+738x^167+2406x^168+1818x^169+720x^170+1602x^171+660x^172+180x^173+234x^174+114x^175+18x^176+32x^177+54x^178+8x^180+30x^181+6x^184+10x^186+2x^189+4x^195+2x^198+2x^204

The gray image is a code over GF(3) with n=747, k=9 and d=471.
This code was found by Heurico 1.16 in 39.1 seconds.