The generator matrix

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

generates a code of length 27 over Z8 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+48x^25+10x^26+8x^27+14x^28+36x^29+6x^30+1x^32+4x^33

The gray image is a code over GF(2) with n=108, k=7 and d=50.
This code was found by Heurico 1.16 in 0.336 seconds.