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

generates a code of length 96 over Z8 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+54x^78+194x^80+356x^82+640x^84+866x^86+28x^87+1118x^88+148x^89+1566x^90+516x^91+2446x^92+1380x^93+3180x^94+2036x^95+3750x^96+1996x^97+3354x^98+1380x^99+2358x^100+556x^101+1544x^102+128x^103+1082x^104+16x^105+802x^106+8x^107+567x^108+318x^110+201x^112+114x^114+52x^116+6x^118+6x^120+1x^156

The gray image is a code over GF(2) with n=384, k=15 and d=156.
This code was found by Heurico 1.16 in 99.2 seconds.