The generator matrix

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

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+106x^57+236x^58+232x^59+287x^60+248x^61+167x^62+196x^63+110x^64+76x^65+102x^66+98x^67+66x^68+42x^69+19x^70+16x^71+23x^72+6x^73+4x^74+2x^75+9x^76+2x^77

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 0.252 seconds.