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

generates a code of length 84 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+108x^157+234x^158+194x^159+384x^160+504x^161+432x^162+564x^163+1104x^164+806x^165+1794x^166+2784x^167+1854x^168+2856x^169+2760x^170+908x^171+624x^172+378x^173+158x^174+150x^175+210x^176+132x^177+132x^178+126x^179+54x^180+96x^181+90x^182+38x^183+54x^184+48x^185+26x^186+30x^187+12x^188+12x^189+12x^190+12x^191+2x^231

The gray image is a code over GF(3) with n=756, k=9 and d=471.
This code was found by Heurico 1.16 in 2.83 seconds.