The generator matrix

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

generates a code of length 54 over Z8 who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+67x^42+156x^43+241x^44+334x^45+533x^46+670x^47+753x^48+1094x^49+1533x^50+2226x^51+3225x^52+3532x^53+3878x^54+3900x^55+2930x^56+2300x^57+1610x^58+1168x^59+803x^60+534x^61+471x^62+294x^63+212x^64+126x^65+93x^66+34x^67+27x^68+16x^69+5x^70+1x^74+1x^86

The gray image is a code over GF(2) with n=216, k=15 and d=84.
This code was found by Heurico 1.16 in 47.6 seconds.