The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+288x^29+671x^30+1432x^31+2389x^32+3722x^33+5064x^34+6830x^35+7579x^36+8850x^37+8078x^38+7520x^39+5125x^40+3616x^41+2082x^42+1214x^43+629x^44+282x^45+103x^46+28x^47+21x^48+10x^49+2x^50

The gray image is a code over GF(2) with n=148, k=16 and d=58.
This code was found by Heurico 1.13 in 28.8 seconds.