Prime p₀= 2958626806247544347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2958626289012137927	0 32 42 102 140 150 164 192 212 240 254 264 302 362 372 404	-517235406420
SPT(16)	2958626321732004967	0 36 40 60 70 82 142 162 214 234 294 306 316 336 340 376	-484515539380
SPT(16)	2958626435133276233	0 18 84 86 104 110 126 144 170 188 204 210 228 230 296 314	-371114268114
SPT(16)	2958626464605222727	0 4 16 120 130 136 186 214 246 274 324 330 340 444 456 460	-341642321620
STPT(10)	2958626538282109109	0 2 48 50 60 62 72 74 120 122	-267965435238
STPT(10)	2958626574163486727	0 2 12 14 72 74 132 134 144 146	-232084057620
TPT(14)	2958627071927524847	0 2 24 26 42 44 150 152 234 236 384 386 432 434	265679980500
SPT(16)	2958627391356291133	0 6 30 66 94 108 114 136 198 220 226 240 268 304 328 334	585108746786
TPT(14)	2958627496102534049	0 2 48 50 78 80 120 122 138 140 180 182 222 224	689854989702
SPT(16)	2958627695291764861	0 82 96 112 136 150 162 190 378 406 418 432 456 472 486 568	889044220514
STPT(10)	2958627927348279617	0 2 30 32 72 74 114 116 144 146	1121100735270