The generator matrix

 1  0  0  0  0  1  1  1  0  1  2  1 X+2  0  X  1  1 X+2 X+2  1  1  1  2  1  1  X  2  1  2  1  1  1  1  1  2  1  1
 0  1  0  0  0  0 X+1  X  0 X+3  1  X  1  1 X+2  1  1 X+2  0  X X+1 X+3  1  X  1  1  1 X+2  2  2  0  X  X  3  1  0  0
 0  0  1  0  0  0  1 X+1  1  1  2  3 X+3  1  2 X+2  X  1  1  1  0 X+2  0 X+1  1  1 X+2  3  1  1 X+1  X  2  0  2  0  2
 0  0  0  1  0  1  2  3  3 X+1  1 X+2 X+1 X+3  1  1  0  2 X+1 X+2  0 X+3  1 X+1  X X+1 X+2  0  1  3  0 X+2  1 X+1 X+1 X+2  2
 0  0  0  0  1  1  3 X+2 X+3  3  X  3  2  3 X+3  3 X+1  1  X X+2 X+2  0 X+3 X+3  X  0  3  1 X+2 X+2  0 X+3  0  X  2 X+2  0
 0  0  0  0  0  X  0  X  X X+2  X  2 X+2 X+2  X  X  2  2  X  0  2  2  2  0 X+2  2 X+2 X+2  0  2  X X+2  2  X  2  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+129x^28+638x^29+1397x^30+2750x^31+4366x^32+7478x^33+9707x^34+13992x^35+15735x^36+17772x^37+16474x^38+14172x^39+10301x^40+7612x^41+3976x^42+2456x^43+1144x^44+598x^45+221x^46+102x^47+36x^48+14x^49+1x^50

The gray image is a code over GF(2) with n=148, k=17 and d=56.
This code was found by Heurico 1.13 in 103 seconds.