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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+31x^84+88x^86+116x^88+4x^90+8x^92+3x^96+4x^98+1x^116

The gray image is a code over GF(2) with n=348, k=8 and d=168.
This code was found by Heurico 1.16 in 0.308 seconds.