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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+70x^64+42x^65+117x^66+114x^67+223x^68+304x^69+355x^70+424x^71+608x^72+682x^73+790x^74+1122x^75+1191x^76+1368x^77+1544x^78+1460x^79+1160x^80+1102x^81+830x^82+726x^83+596x^84+480x^85+303x^86+192x^87+161x^88+94x^89+108x^90+54x^91+67x^92+24x^93+34x^94+4x^95+15x^96+10x^98+3x^100+4x^102+1x^104+1x^114

The gray image is a code over GF(2) with n=312, k=14 and d=128.
This code was found by Heurico 1.16 in 22 seconds.