The generator matrix

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

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+54x^54+62x^55+222x^56+122x^57+451x^58+168x^59+546x^60+200x^61+569x^62+172x^63+558x^64+128x^65+401x^66+82x^67+179x^68+48x^69+48x^70+20x^71+19x^72+14x^73+8x^74+6x^75+7x^76+4x^78+2x^79+4x^80+1x^86

The gray image is a code over GF(2) with n=248, k=12 and d=108.
This code was found by Heurico 1.16 in 0.916 seconds.