The generator matrix

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

generates a code of length 54 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+6x^52+56x^53+13x^54+30x^55+9x^56+4x^57+2x^58+4x^61+1x^62+2x^63

The gray image is a code over GF(2) with n=216, k=7 and d=104.
This code was found by Heurico 1.16 in 0.0376 seconds.