The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  4  1  1  0  1  4  1  0  0  1  4  2  1
 0  2  0  0  0  0  0  0  0  2  6  6  4  2  2  2  2  2  0  2  4  6  2  0  2  0  6  0
 0  0  2  0  0  0  2  6  2  2  2  4  6  0  6  4  2  0  2  6  4  6  6  0  0  2  0  0
 0  0  0  2  0  2  2  6  0  0  0  4  2  0  6  0  6  6  4  0  2  6  2  0  6  4  0  0
 0  0  0  0  2  2  0  6  2  0  2  6  4  4  6  2  4  4  0  0  2  4  4  2  2  6  0  0
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  0  4  0  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  4  0  0  4  0  4  4  4  0  4  4  0  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  4  0  0  0  0  4  0  0  4  4  0
 0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  4  4  4  4  0  4  4  0  4  0  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+88x^18+98x^19+260x^20+340x^21+696x^22+870x^23+1488x^24+2380x^25+3287x^26+4424x^27+4661x^28+4556x^29+3416x^30+2496x^31+1515x^32+828x^33+630x^34+294x^35+238x^36+80x^37+72x^38+10x^39+28x^40+8x^41+3x^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 14.1 seconds.