The generator matrix

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

generates a code of length 83 over Z27 who´s minimum homogenous weight is 157.

Homogenous weight enumerator: w(x)=1x^0+564x^157+468x^158+2040x^159+3294x^160+2130x^161+4926x^162+5100x^163+4002x^164+5434x^165+5490x^166+3294x^167+5554x^168+4488x^169+2604x^170+3240x^171+3012x^172+864x^173+1126x^174+798x^175+216x^176+242x^177+42x^178+18x^179+14x^180+36x^181+6x^182+16x^183+6x^184+6x^187+6x^189+6x^190+6x^191

The gray image is a code over GF(3) with n=747, k=10 and d=471.
This code was found by Heurico 1.16 in 9.76 seconds.