The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+324x^30+676x^31+1542x^32+1896x^33+2736x^34+3068x^35+4065x^36+3896x^37+4064x^38+3524x^39+3061x^40+1656x^41+1222x^42+532x^43+319x^44+104x^45+64x^46+8x^47+4x^48+6x^50

The gray image is a code over GF(2) with n=148, k=15 and d=60.
This code was found by Heurico 1.13 in 8.74 seconds.