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

generates a code of length 77 over Z8 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+29x^66+88x^67+154x^68+190x^69+299x^70+340x^71+374x^72+482x^73+529x^74+650x^75+668x^76+702x^77+717x^78+640x^79+577x^80+430x^81+328x^82+274x^83+183x^84+136x^85+102x^86+86x^87+71x^88+32x^89+38x^90+28x^91+15x^92+12x^93+6x^94+6x^95+4x^96+1x^112

The gray image is a code over GF(2) with n=308, k=13 and d=132.
This code was found by Heurico 1.16 in 5.38 seconds.