The generator matrix

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

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 1.16 in 0.311 seconds.