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

generates a code of length 86 over Z27 who´s minimum homogenous weight is 162.

Homogenous weight enumerator: w(x)=1x^0+576x^162+1200x^165+234x^166+162x^167+1698x^168+882x^169+1458x^170+2768x^171+1944x^172+2430x^173+2634x^174+1278x^175+324x^176+804x^177+36x^178+480x^180+354x^183+204x^186+154x^189+42x^192+12x^195+6x^198+2x^234

The gray image is a code over GF(3) with n=774, k=9 and d=486.
This code was found by Heurico 1.16 in 2.94 seconds.