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  2  0  1  2  0  1  1  0  2  1  1  2  1  0  2  1  1  0  1  1  1  1  2  1  0  2  1  1  1  0  0  2  1  1  1  1  0  1  1  1  1  1  2  1  4  2  1  2  1  1  1  1
 0  2  0  6  0  6  0  6  0  6  0  6  6  4  0  6  2  4  6  0  6  0  4  2  6  6  2  6  6  2  0  4  2  6  4  4  6  0  2  6  0  4  2  6  4  6  0  6  6  2  6  2  6  2  2  2  6  2  2  2  2  2  0  6  0  2  0  4  0  2  6  4  6  4  6  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  0  4  0  4  4  0  0  4  4  0  4  0  4  0  4  0  4  0  0  0  4  4  0  4  0  4  0  4  0  4  4  4  0  4  0  4  0  0  0  0  0  4  4  4  0  0  0  0  4  0  0  0  0  0  4  4  0  4
 0  0  0  4  0  0  0  0  0  0  0  0  4  0  0  0  4  0  4  0  4  0  0  0  0  4  4  4  0  4  0  0  0  4  0  0  4  4  0  0  4  4  4  4  4  4  0  4  4  0  4  0  4  4  0  0  4  0  0  4  4  0  4  0  4  4  4  4  0  0  4  4  4  0  4  4  0
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  0  4  0  4  4  0  0  4  4  0  4  0  4  0  0  0  4  4  0  0  4  4  0  0  0  4  4  0  4  0  4  4  0  0  0  4  0  4  4  4  4  4  0  4  4  0  0  4  4  4  0  0  0  4  4  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  0  0  0  0  0  0  0  4  4  4  4  4  0  0  4  4  4  4  0  4  0  0  0  4  0  0  4  4  4  4  0  0  0  4  0  4  0  4  4  0  0  0  0  4  0  0  4  0  0  4  4  4  0  4  4  0  4  0  0  4  4
 0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  4  4  4  4  4  4  4  4  0  4  0  4  4  0  4  0  4  0  0  4  4  4  4  4  0  4  4  4  0  0  4  0  0  4  4  0  0  4  4  0  4  4  0  4
 0  0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  0  0  4  4  4  0  4  4  0  4  4  4  4  4  0  4  4  0  0  0  4  0  0  0  0  4  0  4  0  0  0  0  4  4  0  4  0  4  0  4  4  0  4  0  0  4  4  0  4  0  0  0  4  4  4  4  0  4  0  0  4
 0  0  0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  0  4  0  4  4  0  4  4  0  4  0  4  4  0  4  4  0  0  0  4  4  4  4  4  0  4  0  0  0  0  0  4  4  4  0  0  4  0  0  4  4  4  4  0  4  4  0  0  0  0  0  4  4  4  0  4  0  0  0
 0  0  0  0  0  0  0  0  0  4  0  4  0  0  0  0  4  0  4  0  0  4  4  4  4  4  0  0  0  4  0  0  4  0  4  4  0  0  4  0  4  4  0  0  0  4  4  0  0  4  4  0  4  0  0  4  0  0  0  4  0  0  4  0  4  4  0  4  4  4  0  4  0  0  4  4  4
 0  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  0  4  4  0  0  4  4  4  0  4  4  4  4  0  0  0  4  4  0  0  0  0  0  4  0  0  0  0  4  4  0  0  0  0  4  4  0  0  0  4  4  0  0  0  4  0  4  4  0  0  0  4  0  4  4  0  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+6x^63+111x^64+60x^65+145x^66+128x^67+204x^68+302x^69+287x^70+804x^71+358x^72+1320x^73+449x^74+2134x^75+501x^76+2742x^77+489x^78+2174x^79+429x^80+1372x^81+331x^82+732x^83+250x^84+314x^85+190x^86+152x^87+115x^88+32x^89+72x^90+14x^91+49x^92+2x^93+31x^94+24x^96+10x^98+4x^100+1x^102+1x^104+1x^106+1x^112

The gray image is a code over GF(2) with n=308, k=14 and d=124.
This code was found by Heurico 1.16 in 23.4 seconds.