The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+33x^24+146x^25+214x^26+128x^27+41x^28+110x^29+186x^30+104x^31+14x^32+14x^33+14x^34+8x^35+7x^36+2x^37+2x^38

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0203 seconds.