The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+65x^18+122x^19+316x^20+498x^21+998x^22+1602x^23+2570x^24+3600x^25+4214x^26+4696x^27+4242x^28+3636x^29+2670x^30+1672x^31+969x^32+448x^33+231x^34+94x^35+90x^36+10x^37+12x^38+6x^39+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 10.7 seconds.