The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  2  1  1  1  1  2  2  0  0  0  0  1  1  0  1  1  0  0  1  1  1  2  2  1  1  0  2  1  1  2  1  1  1  1  0  0  2  0  1  1  1  1  2  2  0  2  0  2  2  1  2  2  1  1  1  0  2  1  1  0  0  2  1  1  1  1
 0  1  0  1  0  1  1  0  0  1  3  1  2  1  0  2  3  1  1  1  2  1  1  1  0  2  0  1  1  1  1  0  1  0  0  1  2  0  0  1  3  3  0  0  1  3  0  1  1  0  1  1  2  1  1  1  2  0  1  1  1  1  3  2  2  1  2  3  2  1  0  0  1  1  1  0  0  0  1
 0  0  1  1  1  0  1  0  1  1  0  2  1  3  3  2  0  3  2  3  1  3  1  0  3  2  1  0  3  0  3  2  1  2  1  2  1  3  1  1  2  1  1  0  3  2  1  3  0  1  2  0  3  2  1  3  1  1  0  0  0  3  1  1  1  0  1  3  1  2  3  1  3  1  3  0  2  2  3
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  0  2  2  0  2  2  0  2  0  0  0  0  0  2  2  0  0  0  2  0  2  2  0  0  2  2  0  2  0  0  2  0  0  2  2  2  2  2  0  0  2  0  2  2  0  2  0  0  0  0  0  2  0  2  0  2  0  0  2
 0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  0  0  0  2  0  0  2  2  2  0  2  0  2  0  0  2  2  0  0  2  0  2  2  2  0  2  2  0  0  0  2  2  0  2  2  2  2  2  2  2  0  0  2  0  2  2  0  2  0  0  2  2  2  2  0  0  0  0  0  2  2  2  2
 0  0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  0  2  2  2  0  2  2  2  0  2  2  0  0  2  2  2  0  0  2  0  2  0  2  2  0  0  0  2  0  2  0  0  2  2  0  0  2  0  0  2  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  2  0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  0  2  0  2  2  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  0  0  2
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  2  0  0  2  2  0  2  2  2  0  0  2  2  2  0  2  0  2  0  2  0  0  0  2  0  2  2  0  2  0  0  0  2  2  0  0  2  2  2  2  0  2  0  0  0  0  0  0  0  2  0  0
 0  0  0  0  0  0  0  0  2  0  2  2  2  0  0  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  2  0  0  2  2  0  2  2  2  0  2  2  2  0  2  2  0  0  0  2  0  0  0  2  0  0  0  2  0  0  2  0  2  2  0  2  2  0  0  2  2  0  0  0  2  2  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  0  0  2  2  0  0  2  2  2  2  0  2  0  2  2  0  0  0  2  2  0  2  0  2  0  0  2  2  0  2  0  2  0  2

generates a code of length 79 over Z4 who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+51x^66+88x^67+171x^68+184x^69+272x^70+310x^71+299x^72+350x^73+384x^74+392x^75+436x^76+438x^77+477x^78+518x^79+474x^80+508x^81+401x^82+408x^83+412x^84+372x^85+289x^86+258x^87+160x^88+166x^89+107x^90+72x^91+64x^92+30x^93+47x^94+2x^95+25x^96+16x^98+5x^100+3x^102+1x^104+1x^106

The gray image is a code over GF(2) with n=158, k=13 and d=66.
This code was found by Heurico 1.16 in 14 seconds.