The generator matrix

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

generates a code of length 77 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+124x^141+78x^142+144x^143+548x^144+594x^145+966x^146+1036x^147+2034x^148+2382x^149+1930x^150+6096x^151+4566x^152+2932x^153+9186x^154+5766x^155+3114x^156+7440x^157+3870x^158+1622x^159+2070x^160+1176x^161+788x^162+156x^163+72x^164+162x^165+30x^166+12x^167+56x^168+18x^169+18x^171+18x^174+10x^177+16x^180+4x^183+8x^189+4x^192+2x^195

The gray image is a code over GF(3) with n=693, k=10 and d=423.
This code was found by Heurico 1.16 in 13 seconds.