The generator matrix

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

generates a code of length 76 over Z27 who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+184x^141+336x^142+462x^143+1310x^144+1566x^145+1212x^146+3508x^147+3390x^148+2922x^149+5568x^150+6456x^151+3726x^152+7024x^153+6342x^154+3306x^155+4568x^156+3162x^157+1248x^158+1378x^159+450x^160+126x^161+292x^162+84x^163+66x^164+108x^165+36x^166+42x^167+70x^168+48x^169+6x^170+36x^171+6x^173+6x^174+2x^180+2x^189

The gray image is a code over GF(3) with n=684, k=10 and d=423.
This code was found by Heurico 1.16 in 11.7 seconds.