The generator matrix

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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+108x^58+114x^59+203x^60+108x^61+148x^62+84x^63+65x^64+44x^65+38x^66+14x^67+43x^68+8x^69+10x^70+12x^71+12x^72+6x^74+4x^76+2x^78

The gray image is a code over GF(2) with n=248, k=10 and d=116.
This code was found by Heurico 1.16 in 0.142 seconds.