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

generates a code of length 53 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+84x^44+10x^46+178x^48+92x^50+696x^52+624x^54+173x^56+36x^58+86x^60+6x^62+47x^64+13x^68+1x^72+1x^84

The gray image is a code over GF(2) with n=212, k=11 and d=88.
This code was found by Heurico 1.16 in 0.345 seconds.