The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+56x^53+52x^54+72x^56+86x^57+24x^58+18x^60+54x^61+36x^62+27x^64+50x^65+8x^66+6x^68+10x^69+6x^70+2x^72+2x^80+2x^86

The gray image is a code over GF(2) with n=118, k=9 and d=53.
This code was found by Heurico 1.16 in 83.2 seconds.