Prime p₀= 2313630065620562831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2313629576440594339	0 22 58 100 124 162 184 202 210 228 250 288 312 354 390 412	-489179968492
STPT(10)	2313629686704012041	0 2 30 32 78 80 126 128 156 158	-378916550790
STPT(10)	2313629708786124227	0 2 30 32 102 104 174 176 204 206	-356834438604
STPT(10)	2313629825039352887	0 2 60 62 72 74 84 86 144 146	-240581209944
SPT(16)	2313629908973698307	0 12 20 32 42 56 66 90 122 146 156 170 180 192 200 212	-156646864524
STPT(10)	2313629960215687427	0 2 30 32 72 74 114 116 144 146	-105404875404
SPT(16)	2313630444642359267	0 50 122 146 152 182 216 222 230 236 270 300 306 330 402 452	379021796436
STPT(10)	2313630721303656101	0 2 6 8 48 50 90 92 96 98	655683093270
SPT(16)	2313630789602938009	0 12 28 42 54 88 168 172 330 334 414 448 460 474 490 502	723982375178
STPT(10)	2313631294895244197	0 2 30 32 42 44 54 56 84 86	1229274681366
STPT(10)	2313632024548484537	0 2 60 62 72 74 84 86 144 146	1958927921706