The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+1x^54+10x^55+1x^56+2x^57+1x^58

The gray image is a code over GF(2) with n=208, k=4 and d=108.
This code was found by Heurico 1.16 in 0.0313 seconds.