The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+57x^56+40x^57+175x^58+114x^59+262x^60+266x^61+486x^62+454x^63+532x^64+630x^65+719x^66+906x^67+853x^68+1136x^69+947x^70+1166x^71+1004x^72+1080x^73+957x^74+870x^75+837x^76+634x^77+518x^78+482x^79+376x^80+262x^81+213x^82+94x^83+119x^84+44x^85+60x^86+10x^87+43x^88+4x^89+16x^90+9x^92+4x^94+3x^96+1x^102

The gray image is a code over GF(2) with n=142, k=14 and d=56.
This code was found by Heurico 1.16 in 42.7 seconds.