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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+31x^30+192x^31+31x^32+1x^62

The gray image is a code over GF(2) with n=124, k=8 and d=60.
This code was found by Heurico 1.16 in 0.0122 seconds.