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

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

Homogenous weight enumerator: w(x)=1x^0+80x^42+120x^43+241x^44+370x^45+558x^46+796x^47+945x^48+1370x^49+1843x^50+2290x^51+2822x^52+3234x^53+3341x^54+3164x^55+2932x^56+2400x^57+1836x^58+1472x^59+993x^60+706x^61+444x^62+328x^63+231x^64+102x^65+79x^66+22x^67+24x^68+10x^69+9x^70+2x^72+2x^74+1x^96

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 seconds.