The generator matrix

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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+48x^57+383x^58+728x^59+1554x^60+2344x^61+3484x^62+4736x^63+6178x^64+7408x^65+9703x^66+10410x^67+12306x^68+12032x^69+12351x^70+10588x^71+10134x^72+7748x^73+6496x^74+4430x^75+3280x^76+2104x^77+1227x^78+646x^79+347x^80+180x^81+106x^82+64x^83+24x^84+8x^85+10x^86+14x^87

The gray image is a code over GF(2) with n=276, k=17 and d=114.
This code was found by Heurico 1.11 in 235 seconds.