The generator matrix

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

generates a code of length 67 over Z8 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+198x^56+64x^57+648x^58+284x^59+1200x^60+748x^61+1854x^62+1440x^63+2884x^64+2288x^65+3526x^66+2584x^67+3425x^68+2408x^69+2950x^70+1424x^71+1836x^72+688x^73+1126x^74+268x^75+473x^76+76x^77+228x^78+16x^79+87x^80+36x^82+5x^84+2x^88+1x^92

The gray image is a code over GF(2) with n=268, k=15 and d=112.
This code was found by Heurico 1.16 in 47.3 seconds.