The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  3  1  1  3  1  1  1  3  1  1  1  1  1  1  3  1  1  1  1  1  1  1  1
 0  9  0  0  0  0  0  0  0  0  9 18 18  9  9  9  0 18  9 18  9  0  9  0 18  9  0 18  9 18 18 18  9  9  0  9 18 18  0  0  0  9 18  9  9  9  0 18  9 18  9  9  0 18  0 18 18  9 18  9  0  0 18 18 18  9 18 18  0 18  0  9  9  0  9  0  0
 0  0  9  0  0  0  0  9 18 18 18  0  0 18  9 18  9  0  9  9  0 18 18  0  9  9 18  0  9  0 18 18 18  9  0 18 18 18  9  9 18 18 18 18  0 18  0 18  0  9  9  0  0  0  9  0  0  9 18  9 18  9  0 18  9  0  9 18  9 18  9  0  0 18  0  0  0
 0  0  0  9  0  0  9 18  0 18  0  0 18  9  9 18  0  9  0 18  0 18 18  0 18  0  9 18 18  9  9  9 18  0 18  0 18  9  0 18  9 18 18  9  9  9  9 18  0  0  0  0  9  0  9 18  0  0 18 18  0  0  9 18  9  9  9  0  9  9  9 18  9  0  0  0  9
 0  0  0  0  9  0 18 18  9  0 18 18 18  0 18 18  0 18  9  0 18 18  0  9 18  0 18  9  0  9  0  9  0 18 18  0  0 18 18  9  0  9 18  9  0 18 18 18  9  9  9  9  0  0 18  0  0  9  0  9  0  9  0  9 18 18 18  9  0  0 18 18  0  9  0  9  9
 0  0  0  0  0  9 18 18 18 18 18 18  9 18  9  9 18  9 18 18 18 18  0 18  0  9  0  0 18  9 18  0 18  9  9  0  9  0  0  9  0  9 18  9 18  9  9  0  9  9  9 18  9 18 18  9  0 18 18 18  9  0 18  0 18 18  0  9 18  9  9 18  9  0  9  9  0

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

Homogenous weight enumerator: w(x)=1x^0+50x^141+126x^144+150x^147+354x^150+556x^153+4374x^154+546x^156+234x^159+34x^162+44x^165+12x^168+18x^171+24x^174+14x^177+8x^180+6x^183+2x^186+2x^189+4x^192+2x^216

The gray image is a code over GF(3) with n=693, k=8 and d=423.
This code was found by Heurico 1.16 in 0.622 seconds.