The generator matrix

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

generates a code of length 18 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+118x^27+162x^28+270x^29+1136x^30+702x^31+780x^32+2048x^33+954x^34+1182x^35+3760x^36+1350x^37+1548x^38+3104x^39+1026x^40+552x^41+740x^42+180x^43+42x^44+16x^45+8x^48+2x^51+2x^54

The gray image is a code over GF(3) with n=54, k=9 and d=27.
This code was found by Heurico 1.13 in 0.391 seconds.