The generator matrix

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

generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+112x^53+252x^54+428x^55+379x^56+542x^57+308x^58+422x^59+351x^60+322x^61+222x^62+190x^63+154x^64+162x^65+80x^66+98x^67+41x^68+14x^69+2x^70+14x^71+2x^72

The gray image is a code over GF(2) with n=236, k=12 and d=106.
This code was found by Heurico 1.16 in 0.607 seconds.