The generator matrix

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

generates a code of length 39 over Z27 who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+428x^69+90x^70+522x^71+1694x^72+936x^73+2880x^74+5088x^75+3942x^76+8640x^77+9070x^78+6444x^79+8442x^80+6312x^81+1710x^82+1386x^83+1026x^84+364x^87+46x^90+24x^93+2x^96+2x^99

The gray image is a code over GF(3) with n=351, k=10 and d=207.
This code was found by Heurico 1.16 in 21.4 seconds.