The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+225x^18+16x^19+754x^20+280x^21+2342x^22+1944x^23+6111x^24+5848x^25+11036x^26+8376x^27+10924x^28+5896x^29+6396x^30+1928x^31+2241x^32+264x^33+697x^34+24x^35+186x^36+38x^38+7x^40+2x^42

The gray image is a code over GF(2) with n=108, k=16 and d=36.
This code was found by Heurico 1.16 in 40.5 seconds.