The generator matrix

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

generates a code of length 66 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+127x^56+329x^58+454x^60+470x^62+501x^64+494x^66+441x^68+429x^70+355x^72+233x^74+144x^76+76x^78+24x^80+16x^82+1x^84+1x^86

The gray image is a code over GF(2) with n=132, k=12 and d=56.
This code was found by Heurico 1.16 in 2.49 seconds.