The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  1  2  1  1  X  1  1  1  0  1  1 X+2  1  0  1  1 X+2  1  1  1  0  1  1 X+2  1  X  X  1  X  X  X  1  1  0  X  2  1  1  X  X  X  2  0  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3 X+1  0  1 X+2  3  1 X+3  1  0  3  1 X+2  2 X+1  1  X  3  1 X+1  1  0  3  1 X+2  0 X+1  1 X+2  3  1  2 X+2  X  0  0  2  X X+1  1  X  2  X X+3 X+1  1  X  1  X  2  1
 0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  2  0  0  2  0  0  0  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  2  2  0  2  2  2  0  2  2  0  2  0  0  0  0  2
 0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  0  2  0  2  2  2  0  0  2  2  0  0  2  0  2  2  0  2  0  0  2  2  0  0  2
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  0  2  2  0  2  2  2  2  0  2  2  0  2  0  0  0  2  0  0  0  2  0  2  2  2  2  0  2  0  0  2  2  0  0  2  0  0  0  0  2  0  2  2  0
 0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  0  2  0  0  0  0  2  0  2  2  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  2  0  2  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+132x^57+68x^58+138x^59+36x^60+114x^61+62x^62+136x^63+23x^64+120x^65+51x^66+106x^67+4x^68+18x^69+10x^70+4x^71+1x^114

The gray image is a code over GF(2) with n=248, k=10 and d=114.
This code was found by Heurico 1.16 in 56.2 seconds.