The generator matrix

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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+47x^54+214x^55+332x^56+464x^57+601x^58+662x^59+728x^60+818x^61+802x^62+712x^63+712x^64+534x^65+467x^66+400x^67+225x^68+210x^69+120x^70+50x^71+43x^72+18x^73+8x^74+10x^75+3x^76+4x^77+3x^78+4x^80

The gray image is a code over GF(2) with n=248, k=13 and d=108.
This code was found by Heurico 1.16 in 3.32 seconds.