The generator matrix

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

generates a code of length 68 over Z8 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+26x^45+74x^46+96x^47+208x^48+192x^49+471x^50+492x^51+635x^52+652x^53+916x^54+712x^55+899x^56+620x^57+830x^58+690x^59+1029x^60+1198x^61+1688x^62+2248x^63+3088x^64+3566x^65+4853x^66+4658x^67+5396x^68+5134x^69+4726x^70+3766x^71+3428x^72+1998x^73+1614x^74+1118x^75+888x^76+722x^77+838x^78+696x^79+902x^80+718x^81+939x^82+636x^83+669x^84+434x^85+468x^86+216x^87+162x^88+86x^89+72x^90+30x^91+6x^92+10x^93+14x^94+2x^95+4x^97+1x^98+1x^100

The gray image is a code over GF(2) with n=272, k=16 and d=90.
This code was found by Heurico 1.16 in 99.3 seconds.