The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+198x^25+105x^26+234x^27+85x^28+174x^29+34x^30+92x^31+9x^32+58x^33+21x^34+10x^35+1x^36+2x^37

The gray image is a code over GF(2) with n=112, k=10 and d=50.
This code was found by Heurico 1.11 in 485 seconds.