Prime p₀= 967358358334645577 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: Conan
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	967357174884745019	0 12 18 44 48 78 90 92 180 182 194 224 228 254 260 272	-1183449900558
STPT(10)	967357215832811561	0 2 6 8 18 20 30 32 36 38	-1142501834016
SPT(16)	967357604617298707	0 16 22 54 70 94 96 126 250 280 282 306 322 354 360 376	-753717346870
STPT(10)	967357662973273511	0 2 30 32 60 62 90 92 120 122	-695361372066
STPT(10)	967357666297946249	0 2 18 20 30 32 42 44 60 62	-692036699328
SPT(16)	967357851438677339	0 14 42 60 84 92 110 138 224 252 270 278 302 320 348 362	-506895968238
STPT(10)	967358426888701007	0 2 30 32 42 44 54 56 84 86	68554055430
TPT(14)	967358543115583889	0 2 138 140 210 212 348 350 462 464 468 470 558 560	184780938312
SPT(16)	967358650584594209	0 2 12 30 50 78 120 132 140 152 194 222 242 260 270 272	292249948632
SPT(13)	967359052108252711	0 36 48 66 78 96 108 120 138 150 168 180 216	693773607134
SPT(16)	967359346377606859	0 18 24 28 42 52 78 132 250 304 330 340 354 358 364 382	988042961282