The generator matrix

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

generates a code of length 72 over Z8 who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+136x^67+215x^68+302x^69+273x^70+172x^71+159x^72+154x^73+175x^74+76x^75+117x^76+66x^77+42x^78+60x^79+21x^80+32x^81+12x^82+14x^83+6x^84+4x^85+1x^86+4x^87+1x^88+2x^89+1x^90+2x^91

The gray image is a code over GF(2) with n=288, k=11 and d=134.
This code was found by Heurico 1.11 in 0.254 seconds.