The generator matrix

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

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+148x^53+257x^54+362x^55+473x^56+350x^57+422x^58+428x^59+301x^60+332x^61+255x^62+218x^63+196x^64+118x^65+99x^66+72x^67+35x^68+12x^69+4x^70+8x^71+2x^72+1x^74+2x^82

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 0.766 seconds.