The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 51.

Homogenous weight enumerator: w(x)=1x^0+46x^51+154x^52+196x^53+453x^54+482x^55+873x^56+714x^57+1540x^58+1074x^59+2112x^60+1180x^61+2134x^62+996x^63+1563x^64+816x^65+852x^66+378x^67+346x^68+144x^69+117x^70+90x^71+65x^72+22x^73+16x^74+6x^75+4x^76+8x^78+2x^80

The gray image is a code over GF(2) with n=244, k=14 and d=102.
This code was found by Heurico 1.16 in 25.9 seconds.