The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 31.

Homogenous weight enumerator: w(x)=1x^0+140x^31+346x^32+650x^33+768x^34+874x^35+869x^36+1020x^37+804x^38+956x^39+657x^40+542x^41+320x^42+138x^43+59x^44+24x^45+12x^46+4x^47+4x^48+4x^49

The gray image is a code over GF(2) with n=148, k=13 and d=62.
This code was found by Heurico 1.13 in 0.578 seconds.