The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+111x^68+160x^69+188x^70+68x^71+139x^72+76x^73+84x^74+28x^75+54x^76+20x^77+36x^78+12x^79+9x^80+12x^81+4x^82+4x^83+13x^84+4x^85+1x^96

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 0.152 seconds.