The generator matrix

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

generates a code of length 75 over Z27 who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+18x^136+66x^137+86x^138+126x^139+522x^140+426x^141+1434x^142+1674x^143+1012x^144+2022x^145+3534x^146+3144x^147+5478x^148+7326x^149+4294x^150+5562x^151+7488x^152+3544x^153+4188x^154+3360x^155+1192x^156+1362x^157+612x^158+26x^159+186x^160+126x^161+24x^162+36x^163+54x^164+24x^165+18x^167+24x^168+14x^171+6x^173+14x^174+16x^177+2x^180+4x^183+2x^189+2x^195

The gray image is a code over GF(3) with n=675, k=10 and d=408.
This code was found by Heurico 1.16 in 38.2 seconds.