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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+166x^141+176x^144+204x^147+522x^150+4374x^152+492x^153+336x^156+156x^159+32x^162+44x^168+16x^171+24x^177+10x^180+6x^186+2x^207

The gray image is a code over GF(3) with n=684, k=8 and d=423.
This code was found by Heurico 1.16 in 59 seconds.