Elijah,
I think this is the Projection you're looking for. From <<<Clifford J Mugnier's White Paper>>>:
"To cater for plane surveys, a plane coordinate system has been devised that minimizes the effect of projection scale factor. It is based on GDM2008 datum and Lambert Conformal Conic Two Parallel map projection and is referred to as the Local Grid Mauritius 2012 (LGM2012)"
From <<<This PDF>>>:
LOCAL GRID MAURITIUS 2012
The LGM 2012 shall be based on the following parameters –
(a) Datum : GDM 2008
(b) Origin :Verdun PTP0391
(c) Projection : Lambert Conformal Conic Two Parallel
(d) Central latitude : 20° 16' 31.85868" S
(e) Central longitude : 57° 33' 52.40384" E
(f) False easting at Origin : 250,000.00 mE
(g) False northing at Origin : 350,000.00 mN
(h) Parallel 1 : 20° 03' 40.0" S
(i) Parallel 2 : 20° 26' 40.0" S
(j) Scale factor at parallels : 1.00000
Dave
Dave Stoll
Las Vegas, Nevada

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