The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+113x^30+388x^31+641x^32+1134x^33+1295x^34+1750x^35+1722x^36+2112x^37+1919x^38+1962x^39+1328x^40+920x^41+481x^42+378x^43+146x^44+56x^45+32x^46+2x^47+2x^48+2x^49

The gray image is a code over GF(2) with n=148, k=14 and d=60.
This code was found by Heurico 1.13 in 2.13 seconds.