The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+56x^78+102x^79+220x^80+270x^81+355x^82+376x^83+305x^84+350x^85+280x^86+276x^87+250x^88+322x^89+327x^90+210x^91+153x^92+86x^93+46x^94+20x^95+14x^96+20x^97+12x^98+6x^99+8x^100+4x^101+10x^102+2x^103+6x^104+4x^105+1x^106+2x^108+1x^114+1x^120

The gray image is a code over GF(2) with n=344, k=12 and d=156.
This code was found by Heurico 1.16 in 1.16 seconds.