The generator matrix

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

generates a code of length 65 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+37x^56+70x^57+117x^58+126x^59+139x^60+174x^61+130x^62+110x^63+137x^64+148x^65+107x^66+102x^67+96x^68+104x^69+103x^70+70x^71+58x^72+50x^73+34x^74+36x^75+32x^76+26x^77+19x^78+4x^79+11x^80+4x^81+2x^82+1x^84

The gray image is a code over GF(2) with n=130, k=11 and d=56.
This code was found by Heurico 1.16 in 0.592 seconds.