The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+156x^55+80x^56+184x^57+88x^58+188x^59+22x^60+96x^61+32x^62+84x^63+21x^64+40x^65+12x^67+2x^68+2x^72+8x^74+8x^75

The gray image is a code over GF(2) with n=236, k=10 and d=110.
This code was found by Heurico 1.16 in 36.2 seconds.