The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+140x^50+458x^51+1151x^52+2032x^53+2890x^54+4170x^55+5918x^56+7874x^57+9430x^58+11672x^59+13078x^60+12914x^61+13032x^62+11888x^63+10105x^64+8242x^65+5928x^66+4058x^67+2717x^68+1598x^69+846x^70+430x^71+224x^72+156x^73+46x^74+28x^75+22x^76+16x^77+8x^78

The gray image is a code over GF(2) with n=244, k=17 and d=100.
This code was found by Heurico 1.13 in 202 seconds.