The generator matrix

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

generates a code of length 71 over Z27 who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+546x^130+912x^131+3314x^132+6018x^133+9522x^134+12350x^135+17106x^136+24066x^137+27994x^138+36504x^139+43338x^140+45922x^141+52314x^142+55110x^143+48032x^144+46488x^145+37074x^146+26148x^147+16998x^148+10950x^149+5514x^150+3090x^151+1188x^152+502x^153+174x^154+60x^155+56x^156+78x^157+24x^158+24x^159+12x^160+6x^161+6x^163

The gray image is a code over GF(3) with n=639, k=12 and d=390.
This code was found by Heurico 1.16 in 599 seconds.