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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+134x^64+2x^66+329x^68+58x^70+451x^72+264x^74+652x^76+2048x^77+372x^78+2048x^79+650x^80+274x^82+438x^84+50x^86+216x^88+4x^90+135x^92+51x^96+13x^100+1x^104+1x^124

The gray image is a code over GF(2) with n=312, k=13 and d=128.
This code was found by Heurico 1.16 in 7.86 seconds.