The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  X  1  1  X  1  1  1
 0  X  0  0  0  X X+2  X  2  0  X X+2  0  2  X X+2  X  0  2 X+2  2  X  X  0  2 X+2  0  X  2 X+2  X  2  0  0  2 X+2  0  X X+2  X  X X+2  0  2 X+2  0  2  X  2  0  X  0  X  0 X+2  X  0  2  2
 0  0  X  0  X  X  X  0  X X+2  X X+2  0  2  0  2 X+2  0  X  X X+2  0  2  0  0  2  2  2  X X+2 X+2  X X+2  X X+2  X  X X+2  0  2  0  2  0  2 X+2  0  0 X+2  2  2  X  2  2  X X+2  0 X+2  0  0
 0  0  0  X  X  2 X+2  X  0 X+2  0 X+2  0 X+2 X+2  2  X  2 X+2  0  0  X  2  X X+2  0  2 X+2  X  2  X  2  0  X  X X+2  2 X+2  0  0 X+2 X+2  2  2  0 X+2 X+2  0 X+2  2  X  X X+2 X+2 X+2  X  X  2  0
 0  0  0  0  2  2  2  0  2  0  0  0  2  2  2  2  0  0  0  2  2  2  0  2  0  2  2  0  2  0  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  2  2  0  0  0  0  2  2  2  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+122x^54+102x^56+334x^58+240x^60+126x^62+40x^64+50x^66+8x^70+1x^112

The gray image is a code over GF(2) with n=236, k=10 and d=108.
This code was found by Heurico 1.16 in 13.9 seconds.