The generator matrix

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

generates a code of length 64 over Z8 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+60x^54+120x^55+256x^56+412x^57+621x^58+752x^59+983x^60+1238x^61+1429x^62+1552x^63+1574x^64+1652x^65+1362x^66+1316x^67+1053x^68+676x^69+474x^70+284x^71+249x^72+92x^73+76x^74+60x^75+40x^76+22x^77+8x^78+12x^79+4x^80+4x^81+1x^82+1x^86

The gray image is a code over GF(2) with n=256, k=14 and d=108.
This code was found by Heurico 1.16 in 11.6 seconds.