The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+59x^44+58x^45+215x^46+374x^47+722x^48+1028x^49+1351x^50+1946x^51+2446x^52+2960x^53+3444x^54+3536x^55+3369x^56+3140x^57+2467x^58+1992x^59+1384x^60+918x^61+619x^62+330x^63+183x^64+88x^65+73x^66+14x^67+22x^68+18x^70+5x^72+5x^74+1x^76

The gray image is a code over GF(2) with n=220, k=15 and d=88.
This code was found by Heurico 1.16 in 28.6 seconds.