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

generates a code of length 69 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+218x^58+523x^60+28x^61+779x^62+128x^63+1083x^64+452x^65+1513x^66+892x^67+2142x^68+1100x^69+1963x^70+908x^71+1551x^72+428x^73+1046x^74+116x^75+729x^76+40x^77+395x^78+4x^79+210x^80+87x^82+30x^84+15x^86+2x^88+1x^104

The gray image is a code over GF(2) with n=276, k=14 and d=116.
This code was found by Heurico 1.16 in 18.2 seconds.