The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+104x^52+16x^53+294x^54+128x^55+621x^56+248x^57+956x^58+416x^59+1166x^60+440x^61+1134x^62+384x^63+904x^64+296x^65+542x^66+96x^67+234x^68+24x^69+112x^70+29x^72+30x^74+8x^76+4x^78+5x^80

The gray image is a code over GF(2) with n=244, k=13 and d=104.
This code was found by Heurico 1.16 in 3.81 seconds.