The generator matrix

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

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+126x^58+194x^59+294x^60+198x^61+223x^62+216x^63+211x^64+160x^65+144x^66+34x^67+58x^68+44x^69+37x^70+32x^71+32x^72+12x^73+18x^74+4x^75+4x^76+2x^77+2x^78+2x^82

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 0.262 seconds.