The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  1  1  1  1  1
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18  0  0  9
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  0  9  9  9 18 18
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9  9  0  9  9  0 18
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9 18 18  9  0  0

generates a code of length 23 over Z27 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+28x^39+82x^42+162x^44+46x^45+1458x^46+324x^47+32x^48+32x^54+10x^57+8x^60+2x^63+2x^66

The gray image is a code over GF(3) with n=207, k=7 and d=117.
This code was found by Heurico 1.16 in 0.0145 seconds.