A diverse departure is a default departure procedure, named "omnidirectional" by ICAO.
To answer your question: It is normally not published. The only thing that is required on aeronautical publications is a wording preventing or limiting the use of this procedure.
BUCKLEY AFB (KBKF), AURORA, CO TAKEOFF MINIMUMS AND (OBSTACLE)
DEPARTURE PROCEDURES
11013
Diverse departure not authorized.
Use published departure procedures
for obstacle avoidance.
Sometimes there is a reminder that it can be used:
CANNON AFB (KCVS), CLOVIS, NM
TAKEOFF MINIMUMS AND (OBSTACLE)
DEPARTURE PROCEDURES
ORIG 15064
Diverse departure authorized all runways.
This default procedure is valid only when:
- Not explicitly prohibited,
- There is at least one instrument approach for the airport
- No obstacle departure procedure (ODP) and
- No standard departure (SID) has been published for the airport.
A diverse departure is conducted this way:
Cross the runway end at 35 ft, maintain heading and a 200 ft/NM gradient until 400 ft above the runway end. The 200 ft/NM gradient is TERPS' minimum climb gradient, and corresponds to ICAO's 3.3% for the minimum procedure design gradient.
Continue or turn in any direction while maintaining a minimum rate of climb of 200 ft/NM.
Maintain this rate of climb until reaching a 1,000 ft obstacle clearance or a 2,000ft obstacle clearance in mountainous areas.

Source
The 40:1 ratio (152 ft/NM) delimits a surface from the runway end, named the obstacle clearance surface (OCS). The diverse departure ensures being above the OCS until enroute.
Whenever the conditions exist for a diverse departure, it is implicit ATC authorities have assessed the absence of obstacle above the OCS. This assessment is named the diverse departure assessment.
Given the 40:1 slope and obstacle clearances, the area assessed may have a radius from 25 to 46 NM.