The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  1  1  1  4  1  0  0  2  2  2  1  1  4  2  1  1
 0  2  0  0  0  0  0  0  4  6  2  2  2  2  2  2  2  2  0  6  4  6  6  0  2  2  0
 0  0  2  0  0  0  2  6  6  2  2  0  2  2  6  0  2  4  4  0  6  4  2  2  6  2  0
 0  0  0  2  0  2  2  6  0  4  4  2  4  2  6  4  2  2  4  4  6  0  0  0  0  0  0
 0  0  0  0  2  2  0  6  2  6  4  4  0  0  2  2  4  6  6  0  0  0  4  6  0  0  0
 0  0  0  0  0  4  0  0  0  0  0  4  4  0  4  4  0  0  4  4  0  0  0  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  0  4  4  0  4  0  4  4  0  4  0
 0  0  0  0  0  0  0  4  4  4  0  4  4  0  0  4  4  0  4  0  4  4  4  4  0  0  4

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

Homogenous weight enumerator: w(x)=1x^0+42x^18+94x^19+204x^20+334x^21+377x^22+956x^23+605x^24+2786x^25+800x^26+3902x^27+824x^28+2782x^29+662x^30+1114x^31+357x^32+230x^33+158x^34+76x^35+52x^36+12x^37+9x^38+2x^39+5x^40

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 4 seconds.