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  0  1  1  1 24  1  1 24 21  1  1  1 24  1  1  0  1  1  1  1  6  1  0  1  1  1  1 24  9  1  1  1 18  6  1  1  6  1  1  1  1  1  1  1  1  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 26  0  1 16 24  1  1 21 19 16  1 23 20  1 23 20 21  4  1  0  1  4  0 13 16  1  1 26 23 24  1  1 16 21  1  5 19 20  5 14  6 23  0  0
 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  9  0  9  9  0  0  9  9  9  0  9 18 18  0 18  0 18 18  9 18 18 18 18 18  0 18 18  0  0 18  0 18  0  9  0  0 18  0
 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  0 18 18 18  9 18  9 18  9  0  9 18 18  9 18  0  0  0  0  0  0 18 18  0  9  9  0  9  0  0 18 18  9  0  9 18 18  0  9  9  0 18 18  0
 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 18  9  9  0  9  0 18  9  0 18  9  0 18  0  0 18  9  9  9 18  0 18  0 18  9 18  0  0 18  9  0  9  9  9  0  9  0
 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  0  9 18 18  9 18  0  0 18 18  0 18  9 18  0  9  9  9  9 18  0 18 18  9 18  9  9  9 18  9  9  0  0 18 18  9  0  9

generates a code of length 70 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+58x^126+12x^127+78x^128+276x^129+138x^130+690x^131+922x^132+738x^133+1980x^134+2392x^135+2406x^136+4854x^137+5536x^138+4440x^139+7338x^140+6530x^141+4734x^142+5946x^143+4168x^144+1938x^145+2142x^146+892x^147+120x^148+234x^149+196x^150+36x^151+66x^152+74x^153+18x^154+30x^156+14x^159+28x^162+14x^165+4x^168+2x^171+2x^174+2x^177

The gray image is a code over GF(3) with n=630, k=10 and d=378.
This code was found by Heurico 1.16 in 11.2 seconds.