The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  4  1  1  1  1  0  1  2  0  1  1  2  0  1  1  2  0  2  1  2  1  2  2  1  4  1  1  1  2  1  0  0  0  2  1  0  1  1  2  4  1  2  2  1  0  0  1  2  1
 0  2  0  0  0  2  6  2  0  4  0  2  0  6  2  2  4  2  6  0  4  4  2  2  2  0  6  0  4  6  6  4  0  4  0  4  0  4  0  2  4  6  6  6  0  6  4  2  0  0  2  2  0  2  6  4  0  2  0  4  6  4  0  2  6  6  4  0  6  4  2  2  6  2  2  4  6  2  2  2  6  4  2  6  6  4  0  6  6  2  0  2  4  0  6  0
 0  0  2  0  2  2  6  0  0  0  2  4  2  2  4  6  6  2  0  0  0  6  4  2  0  4  6  4  6  6  4  2  6  6  2  2  2  2  2  2  0  2  0  4  0  6  0  2  4  0  4  4  2  2  0  0  0  6  2  4  6  0  2  6  0  0  4  4  4  2  6  2  4  4  6  4  2  0  4  2  0  4  6  6  4  4  4  2  4  2  4  2  2  0  4  0
 0  0  0  2  2  0  6  2  0  2  4  0  6  2  2  0  4  0  4  4  2  6  2  2  4  4  0  6  6  2  6  0  4  4  4  0  4  0  0  0  6  2  4  4  6  4  0  0  0  4  2  6  0  2  4  2  2  2  2  2  0  4  2  2  4  6  6  6  6  0  0  6  0  0  0  2  4  2  6  2  6  2  2  0  2  2  2  0  0  0  4  0  0  4  4  0
 0  0  0  0  4  0  0  0  4  4  4  0  0  0  0  4  0  0  4  4  0  4  0  0  4  0  4  4  0  0  0  4  4  0  0  0  0  4  4  0  4  0  0  4  4  0  4  0  0  4  4  4  0  4  0  4  4  4  0  0  0  4  0  0  0  0  4  4  4  4  4  4  0  0  4  4  4  0  0  4  0  0  0  0  4  4  0  0  0  4  0  4  0  4  0  0
 0  0  0  0  0  4  0  0  4  0  4  4  4  4  0  4  4  0  4  0  0  0  0  0  0  4  0  0  4  4  0  4  0  4  0  4  0  0  0  0  4  0  4  0  4  4  4  4  4  0  0  0  0  0  4  4  4  4  4  0  4  0  0  4  0  4  4  0  4  0  4  4  0  0  4  0  0  0  4  4  0  4  0  4  4  0  0  0  4  4  0  0  4  0  4  0
 0  0  0  0  0  0  4  0  0  4  4  4  0  0  0  4  0  4  4  0  4  4  4  0  0  0  0  0  4  4  4  0  4  4  4  0  4  4  0  0  0  0  4  0  4  4  4  4  4  4  0  0  0  4  0  0  0  4  0  0  0  4  4  4  0  0  4  4  4  4  0  4  4  0  0  4  0  0  4  0  0  0  0  4  4  4  4  4  0  4  0  0  4  0  0  4
 0  0  0  0  0  0  0  4  4  4  0  4  0  0  0  0  0  4  0  4  4  4  4  4  4  0  4  0  4  4  0  0  4  0  0  4  4  0  0  4  0  0  0  0  0  0  0  0  0  4  4  0  4  0  0  4  4  4  0  4  4  0  4  0  4  4  4  0  4  4  4  4  4  4  0  0  0  4  0  0  0  4  4  4  0  4  0  4  0  0  4  0  0  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+42x^84+70x^85+132x^86+212x^87+246x^88+316x^89+310x^90+364x^91+447x^92+442x^93+609x^94+688x^95+625x^96+658x^97+611x^98+460x^99+412x^100+354x^101+240x^102+224x^103+179x^104+154x^105+95x^106+72x^107+71x^108+46x^109+41x^110+28x^111+20x^112+6x^113+7x^114+4x^116+2x^118+1x^120+2x^121+1x^138

The gray image is a code over GF(2) with n=384, k=13 and d=168.
This code was found by Heurico 1.16 in 7.68 seconds.