The generator matrix

 1  0  0  1  1  1  2  0  1  1  1  1  2  2  1  1  0  1  1  X  1  0 X+2  1  X  1  1 X+2  1  2  1 X+2  1  0 X+2  X  1  X  1  1  1  X X+2  2  1  0  1 X+2  1 X+2  1  1  0  0 X+2  1  1  1  X  1  0 X+2  1
 0  1  0  0  1  1  1  2  2  0  1  3  1  1  0  1  1  X X+1  1 X+1  X  1 X+2  0 X+2 X+1  1  2  1  0 X+2  X  1  1 X+2 X+3  1  2  X X+1  1  1  1 X+2  1  X  1 X+3  1  1  3  1  X  0  2  X X+2  1 X+2  1  0  0
 0  0  1  1  2  3  1  1  0  1  3  2  3  2  3  1  2  X  X  3  0  1  0  2  1 X+3  3  1  X X+3 X+3  1 X+2  X X+3  1  3  X X+3  1  1 X+1  0 X+1  X X+2 X+1 X+2  0  1 X+3 X+3  X  1  1  2  2  2  X  0 X+2  1 X+1
 0  0  0  X  0  X  X  X  X  2  2  X  0 X+2 X+2 X+2  2 X+2  0 X+2 X+2 X+2 X+2  2  0 X+2  X  0 X+2  X  X X+2  0  X  X  2  0  2  2  X  2  0  2  2  X  0  2 X+2  X  X X+2  X X+2  0  X  0 X+2  X  X  0  2 X+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+152x^58+172x^59+270x^60+190x^61+253x^62+244x^63+174x^64+176x^65+117x^66+44x^67+74x^68+32x^69+43x^70+20x^71+44x^72+16x^73+16x^74+4x^76+2x^77+2x^78+1x^80+1x^82

The gray image is a code over GF(2) with n=252, k=11 and d=116.
This code was found by Heurico 1.11 in 0.171 seconds.