The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+57x^44+142x^45+358x^46+672x^47+1160x^48+1258x^49+2284x^50+2038x^51+3265x^52+2980x^53+4063x^54+3118x^55+3598x^56+2226x^57+2154x^58+1162x^59+1025x^60+516x^61+326x^62+170x^63+97x^64+44x^65+26x^66+8x^67+13x^68+2x^69+5x^70

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 28.6 seconds.