The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+56x^54+132x^55+246x^56+362x^57+603x^58+846x^59+998x^60+1238x^61+1470x^62+1536x^63+1495x^64+1604x^65+1492x^66+1212x^67+980x^68+748x^69+519x^70+324x^71+196x^72+114x^73+73x^74+38x^75+44x^76+30x^77+10x^78+8x^79+6x^80+2x^84+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.