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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+52x^58+116x^59+247x^60+280x^61+304x^62+408x^63+520x^64+664x^65+931x^66+1208x^67+1335x^68+1464x^69+1461x^70+1446x^71+1409x^72+1188x^73+804x^74+656x^75+509x^76+356x^77+320x^78+200x^79+163x^80+132x^81+75x^82+52x^83+37x^84+12x^85+18x^86+10x^87+3x^88+2x^90+1x^102

The gray image is a code over GF(2) with n=280, k=14 and d=116.
This code was found by Heurico 1.16 in 18.2 seconds.