The generator matrix

 1  0  1  1  1  0  1  1  0  1  X  1  1  1 X+2  1  X  1  1  1 X+2  1  1  1 X+2  0  1  X  2  2  X  1  X  1 X+2  1  1
 0  1  1  0  1  1  2 X+1  1 X+2  1  1  1  2  1 X+1  1  2  3  2  1  3  0 X+2  1  1  3  X  1  2  1  1  2  0  1 X+2  3
 0  0  X  0  0  0  0  0  0  0  0  2  X X+2 X+2  X  X  X  X  X  X  2  X X+2  X  X X+2  X  2  2  X  2  2  0  0  X  0
 0  0  0  X  0  0  0  0  X X+2 X+2 X+2  X  X  0 X+2  X  2  2 X+2  0 X+2  0  X  X  2 X+2 X+2  0  X  0  2  X  2  0  2  X
 0  0  0  0  X  0  2 X+2  0  2  0  X  2 X+2 X+2  2 X+2  X  0 X+2  X  X X+2 X+2 X+2  X  2  2  2  X  0  0  X X+2  X X+2  2
 0  0  0  0  0  X X+2 X+2 X+2  X  2  X  X  2  0  0  2  X  X X+2 X+2 X+2  0  0 X+2  2  2 X+2  2  X  2 X+2  2 X+2 X+2  0 X+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+96x^29+218x^30+374x^31+629x^32+866x^33+1306x^34+1670x^35+1909x^36+2130x^37+2036x^38+1730x^39+1325x^40+918x^41+514x^42+306x^43+187x^44+86x^45+54x^46+16x^47+12x^48+1x^64

The gray image is a code over GF(2) with n=148, k=14 and d=58.
This code was found by Heurico 1.16 in 81.8 seconds.