The generator matrix

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

generates a code of length 80 over Z27 who´s minimum homogenous weight is 151.

Homogenous weight enumerator: w(x)=1x^0+204x^151+234x^152+806x^153+672x^154+972x^155+1378x^156+1254x^157+1224x^158+1982x^159+1560x^160+1764x^161+2400x^162+1476x^163+1350x^164+1162x^165+414x^166+288x^167+244x^168+138x^169+18x^171+84x^172+16x^174+24x^175+4x^177+6x^178+2x^186+4x^189+2x^198

The gray image is a code over GF(3) with n=720, k=9 and d=453.
This code was found by Heurico 1.16 in 5.54 seconds.