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

generates a code of length 79 over Z8 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+20x^76+62x^78+128x^79+22x^80+20x^84+1x^96+2x^110

The gray image is a code over GF(2) with n=316, k=8 and d=152.
This code was found by Heurico 1.16 in 0.163 seconds.