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

generates a code of length 64 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+35x^56+2x^57+26x^58+14x^59+39x^60+42x^61+37x^62+70x^63+15x^64+70x^65+23x^66+42x^67+22x^68+14x^69+18x^70+2x^71+11x^72+12x^74+3x^76+9x^78+2x^80+2x^82+1x^114

The gray image is a code over GF(2) with n=128, k=9 and d=56.
This code was found by Heurico 1.16 in 0.1 seconds.