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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+52x^44+190x^45+318x^46+378x^47+488x^48+560x^49+909x^50+1010x^51+1612x^52+2210x^53+2936x^54+3842x^55+3678x^56+3826x^57+2989x^58+2258x^59+1725x^60+1044x^61+886x^62+540x^63+436x^64+310x^65+253x^66+148x^67+66x^68+52x^69+28x^70+16x^71+4x^72+1x^76+1x^80+1x^90

The gray image is a code over GF(2) with n=224, k=15 and d=88.
This code was found by Heurico 1.16 in 49.9 seconds.