Prime p₀= 917365265603641427 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: Paul
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	917364143589381881	0 12 60 68 116 122 150 198 320 368 396 402 450 458 506 518	-1122014259546
SPT(16)	917364347453303161	0 10 66 70 76 90 118 136 150 168 196 210 216 220 276 286	-918150338266
SPT(16)	917364437491031833	0 6 28 34 58 70 106 114 190 198 234 246 270 276 298 304	-828112609594
SPT(16)	917364490480072919	0 50 62 78 98 102 144 174 188 218 260 264 284 300 312 362	-775123568508
STPT(10)	917364757091636669	0 2 12 14 30 32 48 50 60 62	-508512004758
SPT(16)	917365028585615609	0 48 54 80 98 104 140 164 168 192 228 234 252 278 284 332	-237018025818
STPT(10)	917365282061996819	0 2 42 44 60 62 78 80 120 122	16458355392
STPT(10)	917365399626808787	0 2 12 14 72 74 132 134 144 146	134023167360
SPT(13)	917365543815924043	0 78 96 168 180 210 228 246 276 288 360 378 456	278212282616
SPT(16)	917366193212784787	0 24 40 42 52 70 90 106 180 196 216 234 244 246 262 286	927609143360
SPT(16)	917366215486673011	0 72 90 112 120 126 132 142 180 190 196 202 210 232 250 322	949883031584