The generator matrix

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

generates a code of length 62 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+32x^56+68x^57+45x^58+56x^59+110x^60+136x^61+168x^62+120x^63+95x^64+76x^65+20x^66+48x^67+11x^68+8x^69+20x^70+4x^72+3x^74+2x^76+1x^116

The gray image is a code over GF(2) with n=248, k=10 and d=112.
This code was found by Heurico 1.16 in 0.198 seconds.