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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+134x^57+217x^58+234x^59+272x^60+212x^61+190x^62+186x^63+134x^64+102x^65+88x^66+66x^67+79x^68+44x^69+30x^70+26x^71+9x^72+20x^73+3x^74+1x^76

The gray image is a code over GF(2) with n=248, k=11 and d=114.
This code was found by Heurico 1.16 in 0.257 seconds.