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  2  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  4  4  0  0  4  4  0  4  4  0  4  4  0  0  0  0  0  0  4  4  0  4  4  0  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  0  0  4  4  0  4  4  0  4  4  0  0  0  0  0  4  4  4  4  0  0  0  0  0
 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  0  0  4  4  0  4  4  0  0  0  4  4  0  0  0  4  4  0  0  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  4  4  4  4  0  0  0  0  0  4  4  0  0  0  0  0  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  4  4  4  4  4  4  0  0  0  0  0  0  0  4  4  0  0  0  0  4  4  4  4  0  0

generates a code of length 76 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+16x^72+32x^74+179x^76+18x^80+7x^84+1x^88+2x^108

The gray image is a code over GF(2) with n=304, k=8 and d=144.
This code was found by Heurico 1.16 in 0.141 seconds.