The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+41x^64+76x^65+124x^66+88x^67+263x^68+434x^69+542x^70+716x^71+1171x^72+1578x^73+1882x^74+2250x^75+2642x^76+3032x^77+3081x^78+2960x^79+2689x^80+2546x^81+1889x^82+1332x^83+1122x^84+842x^85+528x^86+308x^87+210x^88+166x^89+92x^90+26x^91+31x^92+28x^93+33x^94+15x^96+2x^97+13x^98+5x^100+8x^102+1x^104+1x^108

The gray image is a code over GF(2) with n=312, k=15 and d=128.
This code was found by Heurico 1.16 in 56.7 seconds.