The generator matrix

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

generates a code of length 54 over Z8 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+28x^53+78x^54+14x^56+4x^61+2x^62+1x^64

The gray image is a code over GF(2) with n=216, k=7 and d=106.
This code was found by Heurico 1.16 in 0.0706 seconds.