The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+6x^36+44x^37+6x^38+1x^40+4x^41+1x^42+1x^50

The gray image is a code over GF(2) with n=148, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0181 seconds.