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  1  1  0  1  1  1  1  3  3  1  1  1  1  3  1  1  1  1  0  1  1  3  1  1
 0  3  0  0 24 21 15  3 24 21 18  0 21 15  9 24 15 21 12  6 18 18 21 21  6 15 24  0 12  0 21 12  9 24  6  0 18  6 24 15 24 12 18 12  0 21 12 24  6 12 24  9 12 18 18 24  3  0  3 15  9  6 12 12 24 21 12  6  6  3  3  9  0 15 12  3
 0  0  3 24  0 15 21  3  6  6 21  0  3 21 15  9  6  9  3  6 18 21 24  9  3  9  9  6  9 18  6 12 21 15  0 15  3 21 15 24  3  6 15  9 12  9 21 18 15  3 18  3 12  3  3 12 24 24 15 12  3  9  0  3 24  0  9 12  3  0 18 21 15 12 15 24
 0  0  0  9  0  0 18  0  0  9 18  9 18  9 18  0  0 18 18  9  0 18  0 18  9  9 18  0 18 18 18 18  9 18  0  0  9 18  0 18 18  0  9  0  0  9  9  9 18  0 18  0  0  0 18  0 18 18  9 18  0 18  9  0  9  9 18  0 18  9 18 18 18  9 18  9
 0  0  0  0  9 18  0  9 18  0 18  9  0  0  0  0  0 18 18  9 18  0  0  9 18 18 18  9  0 18  0  9  9  0 18 18 18  9  9 18 18  9 18  9 18 18  9  9  9  0  0  9 18  0  9  0 18  9  9  0  0  0  0 18  0 18 18  9  9 18 18  0 18 18 18 18

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

Homogenous weight enumerator: w(x)=1x^0+116x^141+270x^142+144x^143+352x^144+420x^145+378x^146+478x^147+1056x^148+846x^149+1796x^150+2364x^151+3072x^152+2804x^153+2304x^154+1080x^155+518x^156+306x^157+120x^158+176x^159+246x^160+78x^161+156x^162+186x^163+102x^164+90x^165+96x^166+6x^167+52x^168+36x^169+8x^171+6x^172+6x^173+10x^174+2x^186+2x^210

The gray image is a code over GF(3) with n=684, k=9 and d=423.
This code was found by Heurico 1.16 in 2.71 seconds.