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

generates a code of length 40 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+162x^69+588x^72+792x^75+486x^76+4302x^78+1944x^79+7388x^81+1944x^82+1322x^84+536x^87+140x^90+32x^93+20x^96+8x^99+14x^102+2x^105+2x^108

The gray image is a code over GF(3) with n=360, k=9 and d=207.
This code was found by Heurico 1.16 in 2.44 seconds.