The generator matrix

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

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+62x^29+149x^30+350x^31+587x^32+960x^33+1278x^34+1606x^35+2048x^36+2170x^37+2167x^38+1770x^39+1316x^40+854x^41+460x^42+354x^43+128x^44+48x^45+35x^46+16x^47+16x^48+2x^49+6x^50+1x^54

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 8.46 seconds.