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

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

Homogenous weight enumerator: w(x)=1x^0+191x^56+565x^60+38x^62+988x^64+288x^66+1635x^68+1014x^70+2697x^72+1456x^74+2754x^76+946x^78+1829x^80+304x^82+967x^84+50x^86+452x^88+155x^92+50x^96+2x^100+1x^108+1x^124

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 73.4 seconds.