The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+30x^18+44x^19+172x^20+408x^21+716x^22+1416x^23+2260x^24+4288x^25+3994x^26+6032x^27+3956x^28+4416x^29+2300x^30+1432x^31+743x^32+352x^33+118x^34+36x^35+32x^36+8x^37+8x^38+4x^40+2x^42

The gray image is a code over GF(2) with n=108, k=15 and d=36.
This code was found by Heurico 1.16 in 7.93 seconds.