Prime p₀= 2313629960215687427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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=81, k=10, 2 28 2 40 2

STPT(10)	2313629510598813191	0 2 36 38 78 80 120 122 156 158	-449616874236
SPT(16)	2313629576440594339	0 22 58 100 124 162 184 202 210 228 250 288 312 354 390 412	-383775093088
STPT(10)	2313629686704012041	0 2 30 32 78 80 126 128 156 158	-273511675386
STPT(10)	2313629708786124227	0 2 30 32 102 104 174 176 204 206	-251429563200
STPT(10)	2313629825039352887	0 2 60 62 72 74 84 86 144 146	-135176334540
SPT(16)	2313629908973698307	0 12 20 32 42 56 66 90 122 146 156 170 180 192 200 212	-51241989120
STPT(10)	2313630065620562831	0 2 6 8 18 20 30 32 36 38	105404875404
SPT(16)	2313630444642359267	0 50 122 146 152 182 216 222 230 236 270 300 306 330 402 452	484426671840
STPT(10)	2313630721303656101	0 2 6 8 48 50 90 92 96 98	761087968674
SPT(16)	2313630789602938009	0 12 28 42 54 88 168 172 330 334 414 448 460 474 490 502	829387250582
STPT(10)	2313631294895244197	0 2 30 32 42 44 54 56 84 86	1334679556770