Prime p₀= 957411137251642361 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: HenkM
db: batch=76, k=10, 2 76 2 58 2

STPT(10)	957410144377153079	0 2 18 20 30 32 42 44 60 62	-992874489282
SPT(16)	957410380247119423	0 60 76 84 100 114 120 126 148 154 160 174 190 198 214 274	-757004522938
TPT(14)	957410582453026967	0 2 12 14 72 74 234 236 480 482 570 572 612 614	-554798615394
SPT(16)	957410690972712649	0 24 28 54 60 112 154 178 264 288 330 382 388 414 418 442	-446278929712
STPT(10)	957410809234096247	0 2 30 32 60 62 90 92 120 122	-328017546114
SPT(16)	957411070002277981	0 12 16 46 60 70 100 132 166 198 228 238 252 282 286 298	-67249364380
STPT(12)	957411246372165227	0 2 24 26 30 32 54 56 60 62 84 86	109120522866
SPT(16)	957411758438616289	0 4 18 28 54 64 84 90 118 124 144 154 180 190 204 208	621186973928
STPT(10)	957411772055916377	0 2 54 56 72 74 90 92 144 146	634804274016
STPT(10)	957411908968877861	0 2 36 38 78 80 120 122 156 158	771717235500
SPT(16)	957412234441007689	0 4 40 42 112 130 138 154 198 214 222 240 310 312 348 352	1097189365328