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

generates a code of length 78 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+57x^72+104x^74+176x^76+436x^78+122x^80+52x^82+16x^84+28x^86+11x^88+20x^90+1x^144

The gray image is a code over GF(2) with n=312, k=10 and d=144.
This code was found by Heurico 1.16 in 0.294 seconds.