The generator matrix

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

generates a code of length 28 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+9x^26+34x^27+45x^28+28x^29+6x^30+2x^31+2x^32+1x^54

The gray image is a code over GF(2) with n=112, k=7 and d=52.
This code was found by Heurico 1.16 in 0.00397 seconds.