Prime p₀= 2313629708786124227 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: Landjunge
db: batch=81, k=10, 2 28 2 70 2

SPT(16)	2313629249731859041	0 28 36 66 72 78 168 178 300 310 400 406 412 442 450 478	-459054265186
SPT(16)	2313629318041024429	0 10 34 40 118 132 160 174 208 222 250 264 342 348 372 382	-390745099798
SPT(16)	2313629377143704063	0 30 54 86 98 110 120 176 198 254 264 276 288 320 344 374	-331642420164
STPT(10)	2313629510598813191	0 2 36 38 78 80 120 122 156 158	-198187311036
SPT(16)	2313629576440594339	0 22 58 100 124 162 184 202 210 228 250 288 312 354 390 412	-132345529888
STPT(10)	2313629686704012041	0 2 30 32 78 80 126 128 156 158	-22082112186
STPT(10)	2313629825039352887	0 2 60 62 72 74 84 86 144 146	116253228660
SPT(16)	2313629908973698307	0 12 20 32 42 56 66 90 122 146 156 170 180 192 200 212	200187574080
STPT(10)	2313629960215687427	0 2 30 32 72 74 114 116 144 146	251429563200
STPT(10)	2313630065620562831	0 2 6 8 18 20 30 32 36 38	356834438604
SPT(16)	2313630444642359267	0 50 122 146 152 182 216 222 230 236 270 300 306 330 402 452	735856235040