The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+27x^46+20x^47+84x^48+68x^49+173x^50+108x^51+318x^52+144x^53+575x^54+176x^55+754x^56+168x^57+594x^58+144x^59+298x^60+112x^61+123x^62+60x^63+51x^64+20x^65+29x^66+4x^67+22x^68+10x^70+6x^72+4x^74+2x^76+1x^86

The gray image is a code over GF(2) with n=224, k=12 and d=92.
This code was found by Heurico 1.16 in 0.988 seconds.