The generator matrix

 1  0  0  0  1  1  1  6  1  1  6  1  0  6  3  1  1  1  1
 0  1  0  0  0  1  7  1  6  1  3  8  1  1  1  3  5  2  6
 0  0  1  0  1  1  5  7  5  0  1  6  0  5  8  0  7  2  6
 0  0  0  1  8  0  5  5  7  1  1  8  8  7  0  2  4  2  1
 0  0  0  0  6  0  6  6  6  0  0  6  3  6  3  3  3  6  0
 0  0  0  0  0  3  3  0  0  6  6  3  0  3  6  3  0  6  0

generates a code of length 19 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+94x^27+288x^28+522x^29+246x^30+1566x^31+2088x^32+622x^33+4212x^34+5868x^35+1668x^36+8064x^37+8388x^38+2502x^39+7830x^40+7146x^41+1078x^42+3726x^43+2232x^44+294x^45+558x^46+42x^48+10x^51+4x^54

The gray image is a code over GF(3) with n=57, k=10 and d=27.
This code was found by Heurico 1.16 in 7.71 seconds.