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  1  1  1  1  1  1  1  1  1  2  1  1  1  2  1  1  1  1  2  2  1  1  1  1  2  1  1  1  1  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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  2  2  2  0  0  2  2  2  2  0  2  2  0  0  0  2  2  0  0  0  0  0  0  0  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  2  2  2  2  2  2  2  0  0  2  2  0  2  2  0  0  0  2  0  2  0  0  2  0  2  2  2  2  2  0  0  0  2  2  2  0  2  2  0  2  0  2  0  0  0  0  0  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  0  2  0  0  2  2  2  2  2  0  0  0  2  2  2  0  2  2  0  0  0  2  2  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  2  2  2  2  2  2  0  0  0  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  0  2  2  0  0  2  2  2  0  2  0  0  0  2  0  2  2  0  2  2  2  2  2  2  0  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  2  0  2  0  2  2  2  2  2  0  0  2  0  2  0  2  2  0  0  0  2  0  2  0  2  0  2  0  0  2  0  2  2  2  2  0  2  2  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0  0  2  0  2  0  0  0  0  2  0  0  2  2  2  0  2  2  0  0  0  2  0  2  2  0  2  0  2  2  2  0  0  0  0  0  2  2  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  2  0  0  0  0  2  0  2  2  0  2  2  0  0  0  2  0  2  2  2  0  2  2  0  2  2  0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  0  2  2  0  2  2  0  2  0  0  0  2  2  2  0  2  2  0  2  2  2  0  2  2  2  2  2  0  0  2  2  0  0  0  2  2  2  2  0  0  0  0  0  0  0
 0  0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  0  0  0  2  2  2  0  0  0  2  2  2  0  0  2  0  2  2  2  0  2  0  2  0  2  2  0  2  0  2  0  0  0  2  2  0  0  0  0  2  2  2  0  0  2  0  0  0
 0  0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  2  2  0  2  0  2  0  2  0  0  2  0  0  0  2  0  0  2  0  0  2  0  0  2  0  2  2  2  2  0  0  2  2  0  2  0  2  2  0
 0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  0  2  2  2  0  0  2  0  2  2  2  0  2  0  2  2  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  2  0  2  0  0  2  2  2  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+67x^56+47x^58+186x^60+137x^62+315x^64+224x^66+318x^68+128x^69+293x^70+640x^71+302x^72+1280x^73+294x^74+1280x^75+334x^76+640x^77+331x^78+128x^79+256x^80+337x^82+162x^84+231x^86+79x^88+118x^90+24x^92+32x^94+4x^96+3x^98+1x^138

The gray image is a code over GF(2) with n=148, k=13 and d=56.
This code was found by Heurico 1.16 in 35.8 seconds.