Prime p₀= 1185184963213375217 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1185183101112256699	0 18 24 52 102 112 124 144 238 258 270 280 330 358 364 382	-1862101118518
STPT(10)	1185183240102504059	0 2 18 20 30 32 42 44 60 62	-1723110871158
STPT(10)	1185183384708042149	0 2 78 80 150 152 222 224 300 302	-1578505333068
STPT(10)	1185183795572150987	0 2 30 32 42 44 54 56 84 86	-1167641224230
SPT(16)	1185184014530849023	0 10 18 28 108 120 144 168 190 214 238 250 330 340 348 358	-948682526194
TPT(14)	1185184936410419759	0 2 12 14 78 80 90 92 150 152 168 170 222 224	-26802955458
STPT(10)	1185185105657026301	0 2 36 38 78 80 120 122 156 158	142443651084
SPT(16)	1185185299871462147	0 14 26 32 66 86 102 126 140 164 180 200 234 240 252 266	336658086930
SPT(16)	1185185346972490679	0 2 30 44 48 110 134 140 252 258 282 344 348 362 390 392	383759115462
SPT(16)	1185185562189327329	0 38 54 78 198 212 222 252 320 350 360 374 494 518 534 572	598975952112
TPT(16)	1185185993425055771	0 2 30 32 48 50 78 80 210 212 240 242 246 248 288 290	1030211680554