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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+49x^54+121x^56+22x^57+171x^58+80x^59+277x^60+186x^61+370x^62+392x^63+515x^64+654x^65+723x^66+916x^67+847x^68+1186x^69+1009x^70+1316x^71+1046x^72+1186x^73+874x^74+920x^75+708x^76+654x^77+535x^78+400x^79+368x^80+186x^81+249x^82+68x^83+136x^84+22x^85+82x^86+4x^87+57x^88+30x^90+15x^92+3x^94+4x^96+1x^100+1x^106

The gray image is a code over GF(2) with n=142, k=14 and d=54.
This code was found by Heurico 1.16 in 77.9 seconds.