The generator matrix

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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+140x^78+374x^79+675x^80+866x^81+992x^82+1160x^83+1169x^84+1216x^85+1263x^86+1272x^87+1210x^88+1112x^89+1054x^90+956x^91+794x^92+618x^93+516x^94+420x^95+241x^96+152x^97+87x^98+24x^99+29x^100+14x^101+11x^102+2x^103+7x^104+6x^105+1x^106+2x^108

The gray image is a code over GF(2) with n=348, k=14 and d=156.
This code was found by Heurico 1.11 in 5.95 seconds.