The generator matrix

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

generates a code of length 70 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+121x^52+29x^54+14x^55+323x^56+58x^57+178x^58+150x^59+472x^60+300x^61+425x^62+492x^63+675x^64+800x^65+656x^66+1064x^67+829x^68+1174x^69+801x^70+1286x^71+748x^72+1098x^73+768x^74+726x^75+557x^76+520x^77+625x^78+288x^79+264x^80+124x^81+362x^82+76x^83+98x^84+22x^85+184x^86+5x^88+50x^90+3x^92+14x^94+2x^98+2x^102

The gray image is a code over GF(2) with n=140, k=14 and d=52.
This code was found by Heurico 1.16 in 46.7 seconds.