The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  2  2  2  2  2  1
 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  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  2  2  2  0  2  2  2  2  2  2  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  2  2  2  2  2  2  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0  2  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  2  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  0  0  2  2  2  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  0  0  2  2  2  0
 0  0  0  0  2  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  2  2  2  2  2  0  2  0  0  2  2  2  2  2  2  0  2  2  0  2  2  0  2  2  0  0  0  0  2  2  0  0  0  0  0  2  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  2  2  0  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2  2  2  0  2  2  2  2  2  0  2  0  2  0  0  2  2  2  0  0  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  0  2  0  0  2  0  2  0  0  0  2  2  0  0  0  2  2  0  2  0  2  0  0  2  0  0  0  2  2  2  0  0  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  0  0  0  0  2  2  2  0  0  2  0  2  2  2  0  0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  0  2  2  0  0  0  2  0  0  0  2  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  0  2  0  0  0  2  0  2  0  2  2  0  0  2  0  2  2  0  0  0  2  2  2  2  2  0  0  0  0  0  2  2  2  2  0  2  0  0  2  2  0  2  0  2  2  0  0  0  0  2  2  2  2  0
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  2  0  0  2  0  0  0  2  2  0  2  2  2  0  0  2  0  2  2  0  2  2  0  2  2  0  2  2  2  2  0  0  0  2  2  0  2  0  2  0  0  2  0  2  0  0  0  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  0  0  0  2  0  2  2  0  2  2  2  0  2  0  2  0  0  2  0  2  0  0  0  2  2  0  2  0  2  0  2  2  2  0  2  2  2  0  0  0  2  0  0  0  2  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  2  0  0  2  0  2  0  0  2  2  0  2  0  0  2  2  0  2  0  0  0  2  2  2  2  0  0  2  0  0  2  0  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  0  0  2  2  2  2  0  2  2  2  2  2  0  2  2  0  0  2  2  0  0  2  2  2  0  2  2  0  2  0  0  2  2  0  2  0  0  0  2  2  0  2  2  0  2  2  2  0  2  0  0  2  0  2  2  0

generates a code of length 71 over Z4 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+118x^52+67x^54+288x^56+221x^58+497x^60+354x^62+64x^63+621x^64+384x^65+507x^66+1024x^67+705x^68+1664x^69+681x^70+1920x^71+701x^72+1664x^73+733x^74+1024x^75+543x^76+384x^77+661x^78+64x^79+373x^80+481x^82+173x^84+264x^86+63x^88+106x^90+12x^92+20x^94+1x^96+1x^126

The gray image is a code over GF(2) with n=142, k=14 and d=52.
This code was found by Heurico 1.16 in 67.5 seconds.