The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  0  2  4  1  4  1  0  4  2  1  0  1  4  1  0  1  4  1  2  2  4  1  1  2  1  2  4  4  1
 0  2  0  0  0  0  0  0  0  2  2  6  2  2  4  4  0  2  0  2  4  4  2  4  6  4  2  4  6  2  6  0  2  2  2  2  0  0  4  2  2  4  4  0  6  2  6  4  4  2  0  0  4  6  2  2  4  4  2  6  0  0  0  2
 0  0  2  0  0  0  2  6  2  4  2  2  0  2  4  6  4  6  0  0  6  2  6  4  0  0  6  2  6  0  0  4  0  4  4  6  2  2  4  2  6  2  2  0  4  4  6  2  2  0  4  2  6  4  0  4  6  6  4  0  0  2  2  6
 0  0  0  2  0  2  2  2  4  4  4  4  6  2  6  2  0  2  4  6  0  4  4  6  2  0  2  6  2  0  0  0  2  4  2  6  2  4  2  2  6  0  0  6  6  2  2  6  6  4  0  6  4  2  6  0  2  2  6  4  0  0  6  2
 0  0  0  0  2  2  0  2  6  2  0  2  4  2  6  0  4  0  2  2  4  6  4  0  0  2  0  4  6  2  6  6  6  4  2  4  4  2  6  2  6  4  4  4  4  6  4  4  4  2  4  4  2  2  0  4  2  4  0  6  6  0  4  2
 0  0  0  0  0  4  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  4  0  4  4  0  0  0  4  0  0  0  4  4  0  0  4  0  4  4  4  0  4  0  0  4  4  0  0  0
 0  0  0  0  0  0  4  4  0  0  0  0  0  0  4  0  4  4  4  4  0  4  4  4  4  4  0  4  4  4  0  0  0  4  4  0  4  0  4  0  0  4  4  4  4  0  0  4  0  0  0  4  0  0  0  0  0  4  0  0  4  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+61x^54+160x^55+162x^56+196x^57+316x^58+392x^59+519x^60+538x^61+666x^62+852x^63+756x^64+670x^65+640x^66+602x^67+440x^68+306x^69+259x^70+218x^71+126x^72+70x^73+91x^74+70x^75+41x^76+12x^77+14x^78+10x^79+3x^80+1x^90

The gray image is a code over GF(2) with n=256, k=13 and d=108.
This code was found by Heurico 1.16 in 4.31 seconds.