The generator matrix

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

generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+140x^58+200x^59+291x^60+148x^61+294x^62+152x^63+222x^64+136x^65+164x^66+60x^67+64x^68+28x^69+54x^70+24x^71+25x^72+8x^73+20x^74+12x^75+4x^76+1x^84

The gray image is a code over GF(2) with n=252, k=11 and d=116.
This code was found by Heurico 1.16 in 0.266 seconds.