The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  4  1  1  2
 0  2  0  6  0  6  0  6  0  6  4  6  0  6  2  4  0  6  2  4  4  6  2  0  0  6  0  2  4  4  6  6  2  0  2  0  6  4  6  0  6  2  4  4  4  2  6  0  0  6  0  2  4  2  0  0  6  0  6  0  4  2  4  6  6  4  2  4  4  0  4  6
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4  4  4  0  4  4  4  0  0  4  0  4  0  4  0  4  4  0  4  4  4  4  0  0  4  4  4  4  4  0  0  4  4  4  4  0  4  4  0  0  0  4  0  4  0  0  4  0  0  4  0  0  4  0  0
 0  0  0  4  0  0  0  4  0  0  0  0  4  4  4  4  0  4  0  0  4  4  0  0  4  0  4  4  0  4  4  4  0  4  0  4  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  0  0  4  0  4  4  4  4  0  0  4  4  0  0  0  0  4  0  4  4  4
 0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  4  0  4  4  4  4  4  0  0  4  0  0  4  4  0  4  4  4  4  0  0  4  0  4  4  4  0  4  4  0  0  4  0  0  4  0  0  4  0  4  0  0  4  0  4  4  4  0  0  0
 0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  4  4  0  0  4  4  4  4  4  4  0  0  0  4  0  0  0  0  0  0  0  4  0  0  0  4  4  4  4  0  0  4  4  4  4  0  4  0  0  0  4  4  0  4  0  0  4  0  0  4  0  4  0  0  4  4  4
 0  0  0  0  0  0  4  0  4  4  0  4  0  4  4  0  0  0  4  4  4  0  4  4  0  4  0  0  0  4  4  4  0  0  0  4  4  4  0  0  0  4  0  4  4  0  4  4  0  4  0  0  0  4  4  4  0  0  0  4  0  4  0  4  4  4  0  0  4  0  0  0

generates a code of length 72 over Z8 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+52x^66+125x^68+201x^70+64x^71+182x^72+128x^73+85x^74+64x^75+43x^76+27x^78+28x^80+19x^82+4x^84+1x^136

The gray image is a code over GF(2) with n=288, k=10 and d=132.
This code was found by Heurico 1.16 in 10.9 seconds.