The generator matrix

 1  0  1  1  1  6  1  1  4  1  1  4  6  1  1  2  1  1  1  1  6  1  1  4  1  1  0  1  6  1  1  1  0  1  1  4  1  2  1  0  1  1  6  1  1  1  1  6  1  2  1  1  1  1  1  0  1  0  1  0  2  1  1  1  0  4  1  1  1  0  1  1
 0  1  1  6  3  1  5  4  1  2  7  1  1  0  7  1  0  7  2  5  1  2  5  1  0  3  1  6  1  3  3  0  1  6  1  1  5  1  1  1  4  4  1  1  6  7  6  1  6  0  4  4  2  0  2  2  1  1  5  1  6  4  0  2  2  2  2  4  2  4  4  4
 0  0  2  0  0  4  0  6  2  6  2  6  4  4  2  2  6  4  6  2  6  4  4  0  0  0  0  4  4  4  2  6  6  6  2  2  0  4  4  0  6  4  2  2  6  2  4  6  0  0  0  2  6  2  6  2  6  2  2  6  0  4  6  2  4  2  4  0  4  4  2  6
 0  0  0  4  0  4  4  4  4  0  4  0  0  4  4  4  0  0  4  0  0  0  4  4  0  4  0  0  0  4  4  4  0  4  4  0  0  4  0  4  0  4  4  0  0  0  4  4  0  4  4  0  4  4  0  0  4  4  4  4  4  0  4  4  4  0  0  0  4  4  4  4
 0  0  0  0  4  4  4  4  0  4  0  0  4  4  4  4  0  0  0  4  4  4  0  0  4  0  4  0  0  4  0  4  0  0  4  4  0  0  4  4  0  0  4  4  4  0  4  0  0  4  4  4  4  0  0  4  0  4  0  4  0  0  0  4  0  0  0  4  0  4  0  0

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

Homogenous weight enumerator: w(x)=1x^0+228x^68+228x^70+206x^72+200x^74+72x^76+52x^78+23x^80+8x^84+2x^96+4x^100

The gray image is a code over GF(2) with n=288, k=10 and d=136.
This code was found by Heurico 1.16 in 11.6 seconds.