The generator matrix

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

generates a code of length 54 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+84x^44+438x^45+753x^46+1440x^47+2130x^48+3158x^49+3688x^50+5400x^51+5414x^52+6916x^53+6454x^54+7042x^55+5610x^56+5470x^57+3832x^58+3272x^59+1922x^60+1160x^61+601x^62+412x^63+195x^64+68x^65+32x^66+32x^67+4x^68+6x^69+2x^71

The gray image is a code over GF(2) with n=216, k=16 and d=88.
This code was found by Heurico 1.16 in 95.8 seconds.