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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+95x^56+20x^58+447x^60+214x^62+949x^64+782x^66+1712x^68+1584x^70+2602x^72+1828x^74+2189x^76+1206x^78+1374x^80+406x^82+595x^84+100x^86+215x^88+4x^90+48x^92+11x^96+1x^100+1x^128

The gray image is a code over GF(2) with n=146, k=14 and d=56.
This code was found by Heurico 1.16 in 53.9 seconds.