The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+2x^54+20x^55+2x^56+4x^57+1x^58+1x^60+1x^62

The gray image is a code over GF(2) with n=216, k=5 and d=108.
This code was found by Heurico 1.16 in 0.0361 seconds.