The generator matrix

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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+164x^77+367x^78+698x^79+661x^80+1094x^81+1124x^82+1298x^83+1200x^84+1298x^85+1216x^86+1252x^87+1094x^88+980x^89+929x^90+972x^91+627x^92+518x^93+293x^94+270x^95+106x^96+106x^97+35x^98+34x^99+23x^100+16x^101+2x^102+4x^103+2x^106

The gray image is a code over GF(2) with n=344, k=14 and d=154.
This code was found by Heurico 1.11 in 5.89 seconds.