The generator matrix

 1  0  0  1  1  1  0  1  1  2  1  2  1  2  X  1 X+2  1  1  1  1 X+2  0  X  1  1  2  1  1 X+2  1  1  1  1  1  1  1  1 X+2  1 X+2  2  1 X+2  X  1  0  0  0  2  X  1  1  0  0 X+2  1  0  1
 0  1  0  0  1  1  1  2  1  1  3  1  X X+2  1 X+1  0  X  2 X+1 X+2  1  1  X X+1 X+2  1 X+3  2  0  1  1  0 X+3  3  X X+2  X  1  3 X+2  X X+1  1  1  3  1  1  0  2  1  2 X+3  1  1  X  0  0  X
 0  0  1 X+1 X+3  0 X+1  X  1  3 X+2  X  1  1 X+2  0  1  2  3 X+1 X+1 X+1  3  1  3 X+2 X+2 X+2 X+3  1  0 X+1  3 X+3  1  3  0  2  2  2  1  1  1  3  3  1  1 X+2  1  1 X+3 X+1 X+2 X+2  X  1 X+2  1 X+1
 0  0  0  2  0  0  0  2  2  2  0  0  0  2  2  2  2  2  2  0  0  0  2  2  2  2  2  0  2  2  2  0  0  2  2  2  0  0  2  0  0  0  0  0  0  2  2  0  0  0  2  0  0  2  0  0  0  2  0
 0  0  0  0  2  0  2  0  2  2  2  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  2  2  0  2  0  0  0  2  0  2  2  2  0  0  2  0  2  2  2  0  0  2  2  0  2  0  0  0  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  2  2  2  0  0  0  2  2  0  0  0  2  0  0  2  2  2  0  2  2  0  2  0  2  2  0  0  2  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+162x^53+232x^54+454x^55+252x^56+550x^57+351x^58+462x^59+272x^60+372x^61+186x^62+262x^63+159x^64+176x^65+48x^66+98x^67+16x^68+18x^69+14x^70+4x^71+4x^72+2x^73+1x^74

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 31.5 seconds.