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

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

Homogenous weight enumerator: w(x)=1x^0+82x^62+263x^64+12x^65+552x^66+96x^67+821x^68+340x^69+1117x^70+960x^71+1506x^72+1960x^73+1796x^74+2976x^75+1991x^76+3592x^77+2086x^78+3168x^79+1938x^80+1916x^81+1507x^82+896x^83+1140x^84+356x^85+772x^86+96x^87+379x^88+16x^89+218x^90+123x^92+53x^94+24x^96+7x^98+5x^100+1x^102+1x^104+1x^110

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 79.1 seconds.