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

generates a code of length 61 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+45x^60+192x^61+15x^64+2x^76+1x^92

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 0.109 seconds.