Prime p₀= 2005014377727997817 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: Dingo
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2005013233866153359	0 2 30 32 60 62 90 92 120 122	-1143861844458
STPT(10)	2005013349859091357	0 2 30 32 60 62 90 92 120 122	-1027868906460
STPT(10)	2005013393791334747	0 2 60 62 72 74 84 86 144 146	-983936663070
STPT(10)	2005013495606922347	0 2 30 32 42 44 54 56 84 86	-882121075470
STPT(12)	2005013562077306117	0 2 42 44 72 74 162 164 192 194 234 236	-815650691700
STPT(10)	2005013812151369351	0 2 96 98 138 140 180 182 276 278	-565576628466
SPT(16)	2005014550124008387	0 24 40 52 54 72 90 100 126 136 154 172 174 186 202 226	172396010570
STPT(10)	2005014749082062819	0 2 12 14 90 92 168 170 180 182	371354065002
SPT(16)	2005015218312524111	0 30 80 116 150 162 192 260 312 380 410 422 456 492 542 572	840584526294
SPT(16)	2005015697682638923	0 16 58 88 126 148 168 184 240 256 276 298 336 366 408 424	1319954641106
TPT(16)	2005015747691002619	0 2 60 62 72 74 150 152 240 242 378 380 420 422 432 434	1369963004802