The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+257x^44+68x^45+696x^46+368x^47+1356x^48+952x^49+2346x^50+1820x^51+3575x^52+2936x^53+4080x^54+2920x^55+3462x^56+1824x^57+2522x^58+992x^59+1229x^60+356x^61+670x^62+40x^63+203x^64+8x^65+52x^66+4x^67+27x^68+2x^70+1x^72+1x^88

The gray image is a code over GF(2) with n=216, k=15 and d=88.
This code was found by Heurico 1.16 in 80.9 seconds.