The generator matrix

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

generates a code of length 70 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+360x^62+292x^63+1066x^64+608x^65+1526x^66+832x^67+1936x^68+824x^69+1834x^70+1016x^71+1715x^72+676x^73+1426x^74+496x^75+791x^76+272x^77+410x^78+84x^79+140x^80+20x^81+40x^82+13x^84+4x^86+2x^88

The gray image is a code over GF(2) with n=280, k=14 and d=124.
This code was found by Heurico 1.16 in 37.3 seconds.