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

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

Homogenous weight enumerator: w(x)=1x^0+119x^44+80x^46+405x^48+560x^50+930x^52+848x^54+625x^56+272x^58+163x^60+32x^62+35x^64+20x^68+5x^72+1x^80

The gray image is a code over GF(2) with n=212, k=12 and d=88.
This code was found by Heurico 1.16 in 0.961 seconds.