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

generates a code of length 82 over Z27 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+78x^150+174x^152+212x^153+18x^154+444x^155+338x^156+180x^157+972x^158+690x^159+720x^160+1704x^161+1602x^162+1440x^163+1956x^164+2002x^165+1440x^166+2010x^167+1100x^168+576x^169+1014x^170+184x^171+294x^173+146x^174+150x^176+90x^177+24x^179+50x^180+6x^182+16x^183+12x^186+6x^189+8x^192+10x^195+6x^198+10x^201

The gray image is a code over GF(3) with n=738, k=9 and d=450.
This code was found by Heurico 1.16 in 3.26 seconds.