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  0  X  2  X  2  X  1  X  0  X  0  X  2  X  2  1  1  1
 0  X  0  0  0  0  0  0  0  0  2  X  X X+2  0 X+2 X+2  0  X  2 X+2  2  X  X  X  2  X  0  X  2 X+2  X X+2 X+2 X+2 X+2  X  0  2  0  2  X  0  0 X+2  2  X  X  X X+2  0  X  2  X X+2  2  0  0  0  2  0
 0  0  X  0  0  0  0  0  0  0 X+2  2  X  X  X  X  0  X  0  X X+2  2  0 X+2  X  X X+2 X+2  2  0 X+2  0  2 X+2  X  0  2 X+2  X  2  2 X+2  X  0 X+2  X  0  2 X+2 X+2  2 X+2  0  0  2  2  X  2 X+2 X+2  2
 0  0  0  X  0  0  0  X X+2  X  X X+2  0  X  2  0 X+2 X+2 X+2  2 X+2  X  0  2  0  2  X  X  X  2  X  0 X+2  0  X X+2  0  2  X  0  2  0 X+2  X  2  X  2  0  X  2  0  X  X  0  X  2  2  X  X  0  0
 0  0  0  0  X  0  X  X  X  2  X  X  X  2  2 X+2 X+2  2  2 X+2 X+2  X X+2  2  2  X  0 X+2  2 X+2 X+2  X X+2  X  0 X+2 X+2 X+2  2  2  0  X  2  X  0  0  X  0  X  X X+2  X  2  0  X  0 X+2  0  2 X+2 X+2
 0  0  0  0  0  X  X  2 X+2 X+2  X  X X+2  0  X  2  2  2 X+2  X  0  2  2  0  X  0  X  2  2 X+2 X+2 X+2 X+2  0  2  2  2  X  2  2 X+2  2  X  X  X  0  0 X+2  0 X+2  X  X  0  2 X+2  X  2  X X+2  0  X
 0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  0  0  0  2  2  0  0  0  0  2  2  0  2  2  0  0  0  0  2  2  2  2  0  2  0  2  0  0  0  0  2  0  0  2  0  2  2  0  0  0  0  2  0  0  2  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+74x^50+162x^51+232x^52+286x^53+341x^54+570x^55+691x^56+854x^57+1114x^58+1394x^59+1609x^60+1606x^61+1764x^62+1510x^63+1111x^64+938x^65+584x^66+416x^67+348x^68+240x^69+189x^70+152x^71+93x^72+40x^73+28x^74+20x^75+11x^76+4x^77+1x^78+1x^94

The gray image is a code over GF(2) with n=244, k=14 and d=100.
This code was found by Heurico 1.16 in 18.5 seconds.