The generator matrix

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

generates a code of length 61 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+180x^60+12x^62+48x^64+12x^66+2x^68+1x^72

The gray image is a code over GF(2) with n=488, k=8 and d=240.
This code was found by Heurico 1.16 in 3.3 seconds.