The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+203x^22+16x^23+362x^24+144x^25+577x^26+352x^27+770x^28+352x^29+649x^30+144x^31+327x^32+16x^33+127x^34+42x^36+12x^38+2x^40

The gray image is a code over GF(2) with n=112, k=12 and d=44.
This code was found by Heurico 1.16 in 5.14 seconds.