The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+53x^64+8x^65+52x^66+44x^67+124x^68+172x^69+261x^70+436x^71+522x^72+776x^73+996x^74+1176x^75+1332x^76+1504x^77+1525x^78+1472x^79+1448x^80+1152x^81+930x^82+788x^83+480x^84+436x^85+214x^86+172x^87+98x^88+48x^89+64x^90+8x^91+28x^92+26x^94+6x^96+22x^98+4x^100+5x^102+1x^110

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 15.6 seconds.