The generator matrix

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

generates a code of length 81 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+426x^151+948x^152+1976x^153+4086x^154+5244x^155+5962x^156+9282x^157+10158x^158+10132x^159+15846x^160+15504x^161+13262x^162+18588x^163+16020x^164+11456x^165+12942x^166+9048x^167+6086x^168+4962x^169+2382x^170+1342x^171+720x^172+318x^173+54x^174+126x^175+84x^176+18x^177+60x^178+48x^179+6x^180+24x^181+18x^182+6x^183+6x^184+6x^185

The gray image is a code over GF(3) with n=729, k=11 and d=453.
This code was found by Heurico 1.16 in 82.3 seconds.