The generator matrix

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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+312x^78+72x^79+722x^80+124x^81+714x^82+104x^83+558x^84+48x^85+510x^86+84x^87+274x^88+44x^89+210x^90+20x^91+121x^92+8x^93+74x^94+4x^95+38x^96+36x^98+4x^99+13x^100+1x^104

The gray image is a code over GF(2) with n=336, k=12 and d=156.
This code was found by Heurico 1.11 in 0.719 seconds.