The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+136x^68+136x^69+164x^70+136x^71+152x^72+16x^73+74x^74+8x^75+46x^76+56x^77+30x^78+32x^79+18x^80+2x^82+2x^84+6x^86+3x^88+4x^90+2x^92

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 0.168 seconds.