The generator matrix

 1  0  0  1  1  1  0  1  1  1 X+2  X  X  1  1  1  0  1  X  1  1  2  2  1  X  0  1  1  1 X+2  1 X+2  0  1  0  1  1
 0  1  0  1  X X+3  1  0 X+3  X  1  2  1 X+3  X X+3  1  1  1  0  1  0  X X+3  1  1 X+1  0  0  1  0  1  X  2  X X+3  0
 0  0  1  1  1  0 X+3  X  X X+3  X  1 X+1  1 X+2 X+3 X+1  1  2 X+3  0  1  1  3 X+3 X+2  0  0 X+3 X+2  0 X+2  1 X+1  2  1  0
 0  0  0  X  0 X+2 X+2  X  2  X X+2 X+2 X+2  0  2  X  0  2  0  2 X+2 X+2  2  X  0  X  2  2 X+2  2 X+2  X  2  2 X+2  0  0
 0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  0  0  2  2  2  0  0  2  2  0  0  0  2  2  0  0  0  2  0  0  2  0
 0  0  0  0  0  2  0  0  0  2  0  0  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  2  2  2  2  2  2  2  2  2  0
 0  0  0  0  0  0  2  2  0  0  2  2  0  0  2  2  2  2  0  2  0  2  0  0  2  0  0  2  2  0  2  2  2  0  2  2  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+66x^29+150x^30+416x^31+497x^32+1160x^33+987x^34+2102x^35+1350x^36+2674x^37+1628x^38+2342x^39+912x^40+990x^41+466x^42+370x^43+112x^44+100x^45+30x^46+18x^47+6x^48+2x^49+3x^50+2x^52

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 5.68 seconds.