The generator matrix

 1  0  0  1  1  1  0  1  1  2  X  1  0  1  1  X X+2  1  1  1 X+2 X+2  1  1  2  1  1  1  0  1 X+2  X  1 X+2  1  1  0  2  1  1  1  1 X+2  1  X  1  1  X  1  1  1  X  1  0 X+2  2  X  1
 0  1  0  0  1  1  1  2  0  X X+2  1  1 X+1 X+3  1  1  X X+2 X+3  1  1 X+2 X+2  1  3 X+1  0  0 X+1  1  1 X+3  0  2  1 X+2  1 X+1  X  3  1  X  X  1 X+1  3  1 X+2 X+3 X+2  2  3  1  1  X  1  2
 0  0  1 X+1 X+3  0 X+1  X  3  1  1  X  3 X+1  1 X+2  0  3  X  2  3 X+1  2 X+3  X X+1  0 X+2  1  1  X X+3 X+3  1  3 X+2  1 X+3 X+2 X+3  3  0  1  X  2 X+2  3 X+3  1 X+2  X  1  3 X+3  X  1  2  X
 0  0  0  2  0  0  0  0  2  2  2  2  2  2  0  2  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  0  2  0  2  0  2  2  2  0  2  0  0  2  2  2  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  0  2  2  2  2  2  2  0  2  2  2  0  0  0  0  2  2  0  2  0  0  2  2  0  0  2  2  2  0  0  0  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  2  0  0  2  2  0  0  2  0  0  2  0  2  0  0  2  2  0  2  2  0  0  0  0  0  0  2  2  0  2  2  0  0  0  2  0  2  2  2  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  2  2  2  0  0  2  0  2  2  2  0  2  2  0  2  0  2  2  0  0  2  2  2  0  2  0  0  2  0  2

generates a code of length 58 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+154x^51+334x^52+536x^53+521x^54+850x^55+654x^56+830x^57+615x^58+846x^59+695x^60+736x^61+443x^62+392x^63+213x^64+184x^65+70x^66+46x^67+18x^68+16x^69+11x^70+14x^71+4x^72+2x^73+3x^74+2x^75+1x^76+1x^78

The gray image is a code over GF(2) with n=232, k=13 and d=102.
This code was found by Heurico 1.16 in 20.4 seconds.