Prime p₀= 2089057078949857097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2089056120808172569	0 60 78 100 120 154 174 184 228 238 258 292 312 334 352 412	-958141684528
SPT(16)	2089056180649705721	0 2 12 38 68 80 128 132 146 150 198 210 240 266 276 278	-898300151376
STPT(10)	2089056398007654377	0 2 30 32 42 44 54 56 84 86	-680942202720
STPT(10)	2089056592191803807	0 2 42 44 72 74 102 104 144 146	-486758053290
SPT(16)	2089056995954465533	0 6 66 106 118 126 166 168 286 288 328 336 348 388 448 454	-82995391564
STPT(10)	2089057032273445049	0 2 12 14 90 92 168 170 180 182	-46676412048
SPT(16)	2089057477452381301	0 48 60 78 106 112 118 132 166 180 186 192 220 238 250 298	398502524204
STPT(10)	2089057908171370259	0 2 12 14 30 32 48 50 60 62	829221513162
STPT(10)	2089058102003818241	0 2 6 8 18 20 30 32 36 38	1023053961144
SPT(16)	2089058488644270709	0 48 54 102 114 124 154 168 184 198 228 238 250 298 304 352	1409694413612
STPT(12)	2089058742819248531	0 2 36 38 48 50 78 80 90 92 126 128	1663869391434