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

generates a code of length 55 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+196x^44+258x^46+856x^48+1288x^50+2392x^52+3114x^54+3331x^56+2392x^58+1461x^60+558x^62+357x^64+64x^66+90x^68+6x^70+15x^72+5x^76

The gray image is a code over GF(2) with n=220, k=14 and d=88.
This code was found by Heurico 1.16 in 13.8 seconds.