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

generates a code of length 74 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+81x^56+61x^58+12x^59+224x^60+56x^61+204x^62+130x^63+418x^64+296x^65+454x^66+490x^67+670x^68+812x^69+737x^70+1060x^71+838x^72+1178x^73+854x^74+1312x^75+804x^76+1082x^77+797x^78+778x^79+614x^80+524x^81+503x^82+266x^83+320x^84+128x^85+293x^86+48x^87+89x^88+18x^89+137x^90+28x^92+2x^93+47x^94+7x^96+6x^98+2x^100+2x^102+1x^114

The gray image is a code over GF(2) with n=148, k=14 and d=56.
This code was found by Heurico 1.16 in 53 seconds.