The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+141x^54+172x^55+286x^56+172x^57+321x^58+184x^59+176x^60+92x^61+157x^62+80x^63+98x^64+36x^65+63x^66+8x^67+27x^68+20x^69+6x^70+4x^71+3x^72+1x^76

The gray image is a code over GF(2) with n=236, k=11 and d=108.
This code was found by Heurico 1.16 in 0.23 seconds.