The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+22x^18+124x^19+212x^20+386x^21+837x^22+1424x^23+2366x^24+3744x^25+4619x^26+4988x^27+4928x^28+3788x^29+2480x^30+1452x^31+691x^32+384x^33+158x^34+72x^35+52x^36+18x^37+11x^38+4x^39+6x^40+1x^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 11.1 seconds.