The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  6  2  1  1  1  0  1  6  1  1  1  1  2  4  1  1
 0  1  1  0  3  1  2  3  1  6  5  1  4  0  3  2  1  7  1  3  1  3  6  4  1  0  0
 0  0  2  6  0  6  2  6  2  4  0  0  2  0  0  2  0  2  4  4  2  0  4  2  2  0  0
 0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  0  0  4  4  0  0  4  0  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  4  4  0  4  0  0  4  0  4  0  0  0  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  0  4  4  4  0  4  4  4  4  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  0  0  4  4  4  0  0  0  4  4  4
 0  0  0  0  0  0  0  4  0  4  0  4  4  0  4  0  0  0  0  4  4  0  4  0  4  0  0
 0  0  0  0  0  0  0  0  4  4  4  0  0  4  0  0  4  4  0  0  4  4  4  4  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+4x^19+197x^20+96x^21+472x^22+560x^23+1476x^24+1440x^25+2952x^26+1944x^27+2907x^28+1440x^29+1532x^30+560x^31+487x^32+96x^33+122x^34+4x^35+47x^36+12x^38+4x^40+1x^44

The gray image is a code over GF(2) with n=108, k=14 and d=36.
This code was found by Heurico 1.16 in 2.65 seconds.