The generator matrix

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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 62.

Homogenous weight enumerator: w(x)=1x^0+42x^62+8x^63+108x^64+40x^65+227x^66+140x^67+418x^68+386x^69+815x^70+790x^71+1809x^72+1358x^73+3055x^74+2134x^75+3776x^76+2580x^77+3821x^78+2116x^79+3068x^80+1348x^81+1781x^82+824x^83+806x^84+394x^85+371x^86+126x^87+178x^88+38x^89+77x^90+6x^91+52x^92+37x^94+19x^96+12x^98+4x^100+2x^102+1x^104

The gray image is a code over GF(2) with n=308, k=15 and d=124.
This code was found by Heurico 1.16 in 56.5 seconds.