Looks like a compound of 6 coincident pentachora (pen). Indeed vertices and edges come in coincident hexatuples, faces are coincident as two {6/2} and two triangles each, and cells are coincident as two 3tets.

Incidence matrix according to Dynkin symbol

o3x3/2x3o

. .   . .   | 30 ♦  4 |  2  4 |  4
------------+----+----+-------+---
. x   . . & |  2 | 60 |  1  2 |  3
------------+----+----+-------+---
o3x   . . & |  3 |  3 | 20  * |  2
. x3/2x .   |  6 |  6 |  * 20 |  2  {6/2}
------------+----+----+-------+---
o3x3/2x . & ♦ 12 | 18 |  4  4 | 10  3tet

o3x3/2x3o

. .   . . | 30 ♦  2  2 |  1  4  1 | 2 2
----------+----+-------+----------+----
. x   . . |  2 | 30  * |  1  2  0 | 1 2
. .   x . |  2 |  * 30 |  0  2  1 | 2 1
----------+----+-------+----------+----
o3x   . . |  3 |  3  0 | 10  *  * | 2 0
. x3/2x . |  6 |  3  3 |  * 20  * | 1 1  {6/2}
. .   x3o |  3 |  0  3 |  *  * 10 | 0 2
----------+----+-------+----------+----
o3x3/2x . ♦ 12 |  6 12 |  4  4  0 | 5 *  3tet
. x3/2x3o ♦ 12 | 12  6 |  0  4  4 | * 5  3tet

o3/2x3/2x3/2o

.   .   .   .   | 30 ♦  4 |  2  4 |  4
----------------+----+----+-------+---
.   x   .   . & |  2 | 60 |  1  2 |  3
----------------+----+----+-------+---
o3/2x   .   . & |  3 |  3 | 20  * |  2
.   x3/2x   .   |  6 |  6 |  * 20 |  2  {6/2}
----------------+----+----+-------+---
o3/2x3/2x   . & ♦ 12 | 18 |  4  4 | 10  3tet