The generator matrix

 1  0  0  0  1  1  1 18  1  1  1  1  1  1  1 15  1  1  1  1  1  1  0  3  1  1  1  1  3  1  1  1  1  1 18  3  6 18  1  1 12 24  1  1 12  1  1  6 24  9 18  1  1  1  1  1  1  1  1 15  6  1  3  1  1  1  1  1  1  1  1  1  6 18  1  3  1  1 18  1  6  1
 0  1  0  0 18  1 19  1 18  0 26 11 17  1 13  1 22 14 24 24 21 20  1  0 23  3 11 16  1 15 14 14  7 25  1  1 12  1 25  1  1  1 15 12  1 15 18  1  1 12  1 12 10  9  5 17 15  1 25  1  9 13 24  5 12 19  2  8  7 13 16  2  1 21 19  1 26 14  1  9  1 18
 0  0  1  0 16 25 14  7  4 23 12 10 26 18  8  7 22 24  0  2 11 11 23  1 12  3 16  3 24 10 17  1 23  1 17 20  1  0  9 17 19  2 14  9  4 15 11 26 22  1 21 25  4 16 25 20  8  6 17 10  1  0 18 16  0 17 13  3 13 12  3  2 11  1 25 20 18 12  6  6 14 15
 0  0  0  1 14  9  5  5 22 24  1  6  3 12  4  4  2 11  1 23 22 25  6 22  3 14 20 13 20 18 17  7  9 19 22 17  5  7 20  5 21  1  6 16 19  2 17 23 14  3 25 10  8 12 20 16 26  6 25 21 19 12  1  3 19 15 25 20  6  2  7 19 12  4  7 16  4 15 11  4 26  0

generates a code of length 82 over Z27 who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+978x^152+2144x^153+4590x^154+7254x^155+9922x^156+14496x^157+20034x^158+22798x^159+29394x^160+36420x^161+37532x^162+44778x^163+50448x^164+47034x^165+47658x^166+44070x^167+35226x^168+28206x^169+20622x^170+11384x^171+7776x^172+4734x^173+2102x^174+888x^175+462x^176+206x^177+54x^178+84x^179+32x^180+24x^181+42x^182+18x^183+12x^184+18x^185

The gray image is a code over GF(3) with n=738, k=12 and d=456.
This code was found by Heurico 1.16 in 708 seconds.