The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+40x^28+30x^29+94x^30+172x^31+147x^32+632x^33+305x^34+1352x^35+450x^36+1748x^37+429x^38+1392x^39+304x^40+632x^41+166x^42+152x^43+64x^44+30x^45+20x^46+4x^47+12x^48+9x^50+6x^52+1x^54

The gray image is a code over GF(2) with n=148, k=13 and d=56.
This code was found by Heurico 1.16 in 1.69 seconds.