The generator matrix

 1  0  1  1  1 X+2  1  1  0  1 X+2  1  1  1  0  1  1 X+2  2  1  1  1  1 X+2  1  1  0  1  1 X+2  1  X  1  1  1 X+2  0  X  0  0  2  X X+2  0  X  1  1  2  X  1  2  0  1  1  1  1 X+2  1  X
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  1  3  0 X+1  1 X+2  3  1  1  0 X+1 X+2  3  1  X X+3  1  2  3  1  1  1  0 X+2 X+1  1  1  1  1  1  1  1  1  1  0  3  2  1  2 X+2  1  1  0  X  0 X+1  1 X+2  X
 0  0  2  0  0  0  0  0  2  2  0  0  2  2  2  0  0  2  0  2  0  2  2  0  0  2  2  0  2  0  2  2  0  0  0  2  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  2  2  0  2  0  0
 0  0  0  2  0  0  0  0  2  2  2  2  0  2  0  0  2  2  2  0  0  2  0  0  2  2  0  0  2  2  2  0  2  0  2  0  0  2  2  0  0  2  0  2  2  2  2  0  0  0  2  0  2  0  0  2  2  2  2
 0  0  0  0  2  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  0  2  2  2  2  0  0  2  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  0  2  0  2
 0  0  0  0  0  2  2  2  2  0  2  0  0  0  2  0  2  0  0  2  0  2  2  2  2  2  0  0  2  0  0  2  2  2  2  0  2  2  0  0  2  2  0  0  0  2  2  2  2  2  2  0  0  0  0  0  2  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+98x^54+44x^55+160x^56+60x^57+143x^58+56x^59+127x^60+56x^61+129x^62+28x^63+87x^64+12x^65+13x^66+7x^68+1x^76+1x^84+1x^86

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 0.131 seconds.