The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+252x^155+440x^156+576x^157+1068x^158+1870x^159+2466x^160+1944x^161+3522x^162+4752x^163+3444x^164+5388x^165+7020x^166+3786x^167+5508x^168+5904x^169+2580x^170+3536x^171+2322x^172+930x^173+650x^174+288x^175+240x^176+96x^177+216x^179+66x^180+90x^182+36x^183+14x^186+30x^188+8x^189+2x^192+4x^198

The gray image is a code over GF(3) with n=747, k=10 and d=465.
This code was found by Heurico 1.16 in 16.5 seconds.