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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+21x^56+32x^58+67x^60+6x^64+1x^116

The gray image is a code over GF(2) with n=118, k=7 and d=56.
This code was found by Heurico 1.16 in 0.0319 seconds.