The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+50x^57+166x^58+268x^59+403x^60+466x^61+554x^62+612x^63+679x^64+806x^65+818x^66+912x^67+924x^68+960x^69+1022x^70+1076x^71+1014x^72+944x^73+872x^74+732x^75+721x^76+618x^77+496x^78+380x^79+290x^80+214x^81+151x^82+104x^83+64x^84+36x^85+16x^86+12x^87+2x^89+1x^114

The gray image is a code over GF(2) with n=140, k=14 and d=57.
This code was found by Heurico 1.16 in 78.9 seconds.