The generator matrix

 1  0  0  1  1  1  2  0  1  1  0  2  1  1  X  X  1  2  1  1  1  0  1  0  1  1  1  2  0  X  X X+2  0 X+2  X  X  X  X  0  1  1  1  1  1  1  X  X  1  1  X  1  1  1  1  1  1  1 X+2  2
 0  1  0  0  1  1  1  X  2  3  1  1  2  3  0 X+2  1  1  2  0  3  1  1  1  0  2  3  1  X  2  X  X X+2  2  1  1  1  1 X+2  X X+2  X X+2 X+1 X+3  1  1 X+2 X+1  1 X+3  X X+3 X+3 X+1 X+1 X+3  1  X
 0  0  1  1  2  3  1  1  X X+2  X X+3 X+1 X+3  1  1  X  1  3 X+2  1 X+2 X+1  2 X+3  2  0 X+3  1  1  1  1  1  1  0  0  1  3  1  0  0  1  1  1  2 X+1 X+2 X+2 X+3 X+3  X X+1  1 X+2  2 X+1  X X+1 X+2
 0  0  0  2  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  2  0  2  0  2  0  2  2  0  2  0  2  0  2  0  2  2  2  2  0  2  2  2  0  0  2  0  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+130x^55+81x^56+208x^57+80x^58+220x^59+29x^60+88x^61+21x^62+50x^63+15x^64+36x^65+26x^66+24x^67+1x^68+1x^70+8x^71+1x^72+4x^73

The gray image is a code over GF(2) with n=236, k=10 and d=110.
This code was found by Heurico 1.11 in 0.0953 seconds.