The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  1  1  0  1  1 X+2  1 X+2  2  1  0  1  1  1  1  1  0  1  1  0 X+2  1  2  1  X
 0  1  1  0 X+3  1  X X+3  1  1 X+2  1  0  3  1 X+3 X+2  1  0  1  1  2  1  3 X+3  X X+3  2  1  1 X+1  1  1 X+2  X X+3 X+2
 0  0  X  0 X+2  0  0  2  2  0  0  2  0  2  0  X X+2  X  X X+2 X+2 X+2 X+2 X+2  2 X+2 X+2  X  0  2  X X+2  0  0 X+2 X+2  2
 0  0  0  X  0  0 X+2 X+2 X+2  X  2 X+2  2  2  2  X X+2 X+2  2  0  2  X  X  X X+2  2  2  0  X  2  X X+2  X  X  X X+2 X+2
 0  0  0  0  2  0  2  0  0  2  0  2  2  2  2  2  0  0  0  0  2  2  2  0  2  0  2  2  0  0  2  0  0  2  2  2  2
 0  0  0  0  0  2  0  0  0  0  2  2  0  2  2  2  2  2  2  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  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+92x^31+196x^32+248x^33+361x^34+428x^35+496x^36+530x^37+474x^38+432x^39+342x^40+230x^41+116x^42+60x^43+40x^44+14x^45+6x^46+12x^47+13x^48+2x^49+3x^50

The gray image is a code over GF(2) with n=148, k=12 and d=62.
This code was found by Heurico 1.16 in 12.3 seconds.