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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+20x^68+18x^69+59x^70+48x^71+221x^72+44x^73+65x^74+16x^75+14x^76+2x^77+3x^78+1x^138

The gray image is a code over GF(2) with n=288, k=9 and d=136.
This code was found by Heurico 1.16 in 0.167 seconds.