The generator matrix

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

generates a code of length 50 over Z8 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+1x^52+10x^53+2x^54+2x^55

The gray image is a code over GF(2) with n=200, k=4 and d=104.
This code was found by Heurico 1.16 in 0.027 seconds.