The generator matrix

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

generates a code of length 56 over Z8 who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+125x^46+36x^47+341x^48+180x^49+684x^50+500x^51+1159x^52+992x^53+1797x^54+1384x^55+2097x^56+1352x^57+1765x^58+968x^59+1212x^60+512x^61+611x^62+180x^63+234x^64+36x^65+114x^66+4x^67+67x^68+19x^70+7x^72+5x^74+2x^76

The gray image is a code over GF(2) with n=224, k=14 and d=92.
This code was found by Heurico 1.16 in 11.3 seconds.