The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+50x^58+146x^59+73x^60+84x^61+29x^62+52x^63+13x^64+20x^65+11x^66+18x^67+6x^68+1x^70+5x^74+3x^76

The gray image is a code over GF(2) with n=244, k=9 and d=116.
This code was found by Heurico 1.13 in 0.063 seconds.