The generator matrix

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

generates a code of length 96 over Z8 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+150x^84+96x^85+434x^86+392x^87+1058x^88+836x^89+1756x^90+1248x^91+2497x^92+1604x^93+2786x^94+1888x^95+3180x^96+2104x^97+3082x^98+1680x^99+2403x^100+1144x^101+1454x^102+792x^103+911x^104+324x^105+404x^106+144x^107+219x^108+36x^109+58x^110+59x^112+6x^114+11x^116+4x^118+7x^120

The gray image is a code over GF(2) with n=384, k=15 and d=168.
This code was found by Heurico 1.16 in 62.4 seconds.