Prime p₀= 2250323435357174657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: JayPi
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2250322356037735079	0 14 44 74 102 104 150 168 314 332 378 380 408 438 468 482	-1079319439578
STPT(10)	2250322715675098019	0 2 42 44 90 92 138 140 180 182	-719682076638
STPT(10)	2250322886551092671	0 2 90 92 108 110 126 128 216 218	-548806081986
SPT(16)	2250322930360952243	0 18 26 30 44 56 90 108 146 164 198 210 224 228 236 254	-504996222414
SPT(16)	2250323109139374859	0 18 22 52 78 94 108 118 144 154 168 184 210 240 244 262	-326217799798
SPT(16)	2250323344276484053	0 64 84 100 106 120 126 168 196 238 244 258 264 280 300 364	-91080690604
STPT(10)	2250323463301761191	0 2 36 38 78 80 120 122 156 158	27944586534
STPT(10)	2250323678097404711	0 2 6 8 48 50 90 92 96 98	242740230054
TPT(14)	2250324115319277029	0 2 30 32 138 140 198 200 258 260 282 284 300 302	679962102372
STPT(10)	2250324153320736089	0 2 18 20 60 62 102 104 120 122	717963561432
SPT(16)	2250324807714340999	0 48 70 88 168 232 258 262 270 274 300 364 444 462 484 532	1372357166342