The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 19.

Homogenous weight enumerator: w(x)=1x^0+72x^19+361x^20+660x^21+1840x^22+2718x^23+5382x^24+7034x^25+9700x^26+9698x^27+9880x^28+7142x^29+5613x^30+2674x^31+1745x^32+646x^33+252x^34+70x^35+39x^36+6x^37+2x^38+1x^46

The gray image is a code over GF(2) with n=108, k=16 and d=38.
This code was found by Heurico 1.16 in 33.5 seconds.