The generator matrix

 1  0  1  1  1  1  1 21  1  1  1 24  0  1  1  1  1  1 21 24  1  1  1  1  1  1  1  1  1  1 21  1  0  1 21  1 21  0  1
 0  1  7 26 21  4 20  1 24 19 23  1  1  0 16 26 20  4  1  1 23 21 23 16  0 24 26  4 21 19  1 24  1 16  1  4  1  1  0
 0  0  9  0  0  0 18 18  9  9  9  0  9  0  9  0  9  9 18 18  9  0  0 18  0  9  0  0 18  9  9  0  0 18 18  9  0  0  9
 0  0  0  9  0  0 18 18 18  0  9  9 18  9 18  0 18 18 18  9  0  9 18  0  0  0  0 18  0 18  0 18 18  0  9  9  9  9 18
 0  0  0  0 18  0 18  9  9 18 18  9  0  0  0 18  0  9  9  9  0  9 18  0 18 18  9 18  9  0  0  9  9  9 18  0  0  9  9
 0  0  0  0  0  9 18  0 18 18 18 18 18 18  9  9 18  9 18 18 18  0  0  0 18  9  9  9  9  0 18  0  9 18 18 18  9  0  0

generates a code of length 39 over Z27 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+46x^66+42x^67+102x^68+106x^69+414x^70+450x^71+770x^72+2166x^73+2640x^74+3972x^75+5754x^76+7962x^77+7858x^78+7674x^79+8022x^80+5254x^81+4098x^82+1086x^83+54x^84+198x^85+144x^86+70x^87+66x^88+6x^89+44x^90+26x^93+12x^96+6x^99+6x^102

The gray image is a code over GF(3) with n=351, k=10 and d=198.
This code was found by Heurico 1.16 in 5.46 seconds.