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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  2  2  2  2  0  4  1  2  1  1  2  1  1  2  1
 0  2  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  4  4  0  0  2  6  2  6  6  6  2  2  6  6  6  6  4  4  0  6  0  6  6  6  0  2  6  4  4  6  0  2  6  0  0  6  4  2  0  4  4  0  0  2  0  0  6  2  6  0
 0  0  2  0  0  0  0  0  0  0  0  4  0  4  6  2  2  2  6  6  6  6  6  6  4  6  4  6  6  0  6  6  4  6  6  0  2  2  6  0  4  2  6  6  6  0  0  0  2  0  2  2  4  4  0  2  0  2  4  4  2  4  4  2  2  2  0
 0  0  0  2  0  0  0  0  0  0  0  6  2  2  0  6  2  2  4  2  4  6  4  2  0  2  6  0  4  4  0  6  2  4  2  2  6  0  4  2  4  6  0  6  6  0  2  4  2  4  2  0  2  4  2  4  2  6  6  4  6  0  2  2  6  2  0
 0  0  0  0  2  0  0  4  6  2  2  2  2  0  2  2  4  2  4  0  6  2  6  0  2  4  0  6  4  4  4  0  6  2  2  0  0  6  2  6  6  4  4  2  4  2  4  4  2  4  0  6  2  6  4  4  2  4  6  0  0  0  2  2  6  4  2
 0  0  0  0  0  2  0  6  6  6  4  0  0  0  0  0  0  0  4  4  4  0  0  0  0  0  4  4  4  0  4  6  6  2  6  2  2  2  2  0  2  2  2  6  6  6  0  2  4  6  6  0  0  2  2  4  2  6  4  6  2  4  0  2  2  6  0
 0  0  0  0  0  0  2  2  4  6  2  0  2  2  0  6  2  4  6  0  6  6  4  4  2  6  6  2  2  6  4  6  2  4  6  4  4  2  6  6  2  4  4  0  6  4  0  0  6  4  2  4  0  4  2  6  0  0  2  4  0  0  6  0  4  6  2

generates a code of length 67 over Z8 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+68x^54+122x^55+242x^56+392x^57+472x^58+482x^59+617x^60+794x^61+940x^62+1502x^63+2280x^64+2920x^65+3490x^66+3944x^67+3787x^68+2952x^69+2112x^70+1538x^71+1030x^72+812x^73+614x^74+462x^75+393x^76+254x^77+210x^78+134x^79+95x^80+68x^81+23x^82+8x^83+3x^84+6x^86+1x^114

The gray image is a code over GF(2) with n=268, k=15 and d=108.
This code was found by Heurico 1.16 in 64.3 seconds.