The generator matrix

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

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+62x^28+80x^29+214x^30+304x^31+571x^32+848x^33+1315x^34+1732x^35+1858x^36+2248x^37+2108x^38+1788x^39+1256x^40+832x^41+526x^42+252x^43+190x^44+88x^45+54x^46+20x^47+28x^48+7x^50+2x^52

The gray image is a code over GF(2) with n=148, k=14 and d=56.
This code was found by Heurico 1.16 in 6.4 seconds.