The generator matrix

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

generates a code of length 59 over Z4 who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+70x^51+121x^52+154x^53+132x^54+132x^55+180x^56+130x^57+126x^58+144x^59+122x^60+92x^61+106x^62+92x^63+87x^64+82x^65+54x^66+58x^67+53x^68+48x^69+26x^70+16x^71+12x^72+4x^73+4x^74+2x^77

The gray image is a code over GF(2) with n=118, k=11 and d=51.
This code was found by Heurico 1.10 in 0.203 seconds.