The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  X  1  1  1  0  1  0  1  1  X  1  X  1  1  1  1  0  1  2  1  1  1 X+2  1  1  1 X+2  1  1  1  1  2  1  1  1  1 X+2 X+2 X+2  1  1  1  1  X  2  0  1  1
 0  1  1  0 X+3  1 X+1 X+2  1  2  1  3  X X+1  1 X+2  1  1  0  1 X+2  1 X+3  1 X+3  0  1  2  1  1  3  2  1  0 X+1  2  1  2  3  1  X  1  X  1  2 X+1  1  1  1 X+1  2  2  X X+2  1  1 X+1  0
 0  0  X  0 X+2  0  2  2  X X+2 X+2  2 X+2  X  X X+2  0  2  X  2  0  X  0  X  2  0 X+2  2 X+2  X  X  X  2  X  2 X+2  2  0  0 X+2  X  0  0  0  0  X  0 X+2  0  0  X  X X+2  2  2 X+2  2 X+2
 0  0  0  X  0  0  0  2  2  2  0  0  2  X  X X+2  X X+2  X X+2  X  X X+2 X+2  2  0  X X+2  2  0 X+2 X+2  2 X+2 X+2  2  X  0 X+2  2  2  X  0  2  2  X  0  0  0  X X+2  0  0  X  0 X+2  0  X
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  2  2  0  0  2  0  0  2  2  0  2  2  0  2  0  0  2  2  2  0  2  0  2  2  2  0  0  0  0  2  0  0  2  0  0  2  0  2  2  2  0  0  2  0
 0  0  0  0  0  2  2  2  0  2  2  0  0  0  0  0  0  0  2  2  2  2  0  0  0  2  2  0  0  2  2  0  2  2  2  0  0  0  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2  2  2  0  0  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+70x^51+162x^52+176x^53+414x^54+256x^55+512x^56+286x^57+467x^58+312x^59+459x^60+198x^61+362x^62+166x^63+126x^64+30x^65+26x^66+16x^67+15x^68+10x^69+6x^70+10x^71+5x^72+4x^73+3x^74+2x^75+2x^78

The gray image is a code over GF(2) with n=232, k=12 and d=102.
This code was found by Heurico 1.16 in 0.846 seconds.