The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+357x^68+335x^72+308x^76+15x^80+6x^84+1x^88+1x^132

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 5.58 seconds.