The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+63x^18+90x^19+233x^20+374x^21+696x^22+1094x^23+1756x^24+2570x^25+3287x^26+4036x^27+4215x^28+4060x^29+3440x^30+2636x^31+1771x^32+1108x^33+645x^34+322x^35+191x^36+78x^37+56x^38+14x^39+24x^40+2x^41+5x^42+1x^44

The gray image is a code over GF(2) with n=112, k=15 and d=36.
This code was found by Heurico 1.16 in 13.6 seconds.