The generator matrix

 1  0  0  1  1  1  6  1  1  2  1  1  0  4  2  1  6  1  0  1  4  1  1  6  1  6  0  1  6  1  0  1  4  4  4  4  1  4  1  2  1  2  6  4  0  2  0  2  1  1  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  6  1  7  3  0  1  1  4  1  0  1  5  1  3  3  1  4  1  1  6  1  6  0  3  1  2  1  2  2  6  0  4  0  1  0  1  2  6  2  6  7  4  0  0  0  0  0  0
 0  0  1  1  1  0  1  0  1  1  2  3  1  2  2  1  7  2  2  2  0  7  6  5  4  7  1  4  1  0  1  2  2  6  7  1  0  1  5  6  7  7  1  2  1  0  6  4  1  4  0  0  0  0  0  0
 0  0  0  2  0  0  6  2  6  6  2  4  0  2  0  6  6  2  0  2  6  6  2  6  6  4  6  0  4  4  0  4  6  6  4  2  0  6  4  4  0  0  6  2  4  6  2  2  0  0  0  0  0  0  0  0
 0  0  0  0  2  0  6  2  2  4  6  0  2  4  2  0  2  0  4  2  0  2  4  2  6  4  0  4  4  6  4  2  6  4  2  0  0  6  6  6  0  0  0  4  4  6  2  6  2  4  0  0  0  0  0  0
 0  0  0  0  0  2  6  0  6  2  0  4  6  2  6  6  2  6  2  2  4  2  0  0  2  4  0  2  6  2  6  0  0  4  4  0  4  2  0  4  2  0  2  4  4  2  2  2  6  0  0  0  0  0  0  0
 0  0  0  0  0  0  4  0  0  4  4  4  4  0  4  0  0  4  4  0  0  4  4  0  4  4  4  0  0  4  0  0  0  0  4  0  4  0  4  0  4  0  0  4  0  4  4  4  4  0  0  0  0  0  0  0

generates a code of length 56 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+26x^39+85x^40+88x^41+248x^42+146x^43+604x^44+282x^45+971x^46+646x^47+1775x^48+1234x^49+2418x^50+2610x^51+3276x^52+4888x^53+4384x^54+6380x^55+5172x^56+6734x^57+4460x^58+4620x^59+3376x^60+2724x^61+2389x^62+1194x^63+1665x^64+620x^65+1001x^66+308x^67+590x^68+174x^69+232x^70+64x^71+93x^72+20x^73+24x^74+4x^75+2x^76+4x^77+2x^79+1x^80+1x^82

The gray image is a code over GF(2) with n=224, k=16 and d=78.
This code was found by Heurico 1.16 in 97.6 seconds.