[PROJ] Pipeline from "Local" projection to EPSG:4326

[Māris Nartišs]

Hello folks,
I got a dataset with custom CRS in "Local" projection and have been
trying unsuccessfully to set up a pipeline to transform coordinates
into 4326.
To get correct results in ArcGIS, I have to select two transformations
– EPSG:15844 followed by EPSG:15843
I was trying various ways how to create pipeline for testing with
cs2cs/cct in 6.3.1 but no luck. As pipelines are a new feature, there
are not so many examples floating around unfortunately – didn't manage
to get syntax right.

Thus:
1) how should such pipeline look like? (looking at shapefile
transformed with ArcGIS, a point from 22000 77000 should land at
69.2642191 41.3335608)
2) how to make it "default" pipeline for the source CRS for all proj
utilizing tools (ogr2ogr, QGIS etc.)?

Here's content of .prj file:
PROJCS["Local_Tashkent",GEOGCS["GCS_Pulkovo_1942",DATUM["D_Pulkovo_1942",SPHEROID["Krasovsky_1940",6378245.0,298.3]],PRIMEM["Greenwich",0.0],UNIT["Degree",0.0174532925199433]],PROJECTION["Local"],PARAMETER["False_Easting",24547.608],PARAMETER["False_Northing",76540.608],PARAMETER["Scale_Factor",1.0],PARAMETER["Azimuth",0.0],PARAMETER["Longitude_Of_Center",69.295403],PARAMETER["Latitude_Of_Center",41.329238],UNIT["Meter",1.0]]

Thanks,
Māris.