The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+81x^18+94x^19+333x^20+550x^21+969x^22+1780x^23+3107x^24+5280x^25+7165x^26+8700x^27+9419x^28+8604x^29+7174x^30+5320x^31+3229x^32+1872x^33+903x^34+470x^35+271x^36+78x^37+89x^38+20x^39+23x^40+3x^42+1x^44

The gray image is a code over GF(2) with n=112, k=16 and d=36.
This code was found by Heurico 1.16 in 38.5 seconds.