The generator matrix

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

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+202x^51+315x^52+510x^53+474x^54+794x^55+687x^56+866x^57+747x^58+876x^59+588x^60+692x^61+461x^62+368x^63+199x^64+204x^65+71x^66+54x^67+33x^68+30x^69+5x^70+6x^71+1x^72+2x^73+2x^74+4x^75

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 31.8 seconds.