Prime p₀= 2290291305557602481 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2290290014497954033	0 60 136 174 220 256 318 334 390 406 468 504 550 588 664 724	-1291059648448
SPT(16)	2290290442671992393	0 6 26 36 44 66 120 164 180 224 278 300 308 318 338 344	-862885610088
STPT(10)	2290291031574599489	0 2 42 44 60 62 78 80 120 122	-273983002992
STPT(10)	2290291082617136717	0 2 30 32 42 44 54 56 84 86	-222940465764
SPT(16)	2290291276475545117	0 36 40 42 60 84 102 112 144 154 172 196 214 216 220 256	-29082057364
SPT(16)	2290291284143390167	0 70 76 94 106 120 136 154 216 234 250 264 276 294 300 370	-21414212314
STPT(10)	2290291727799044771	0 2 6 8 48 50 90 92 96 98	422241442290
STPT(10)	2290291730774117009	0 2 18 20 60 62 102 104 120 122	425216514528
SPT(16)	2290292302033075441	0 28 72 90 132 142 190 222 268 300 348 358 400 418 462 490	996475472960
STPT(10)	2290292873646105707	0 2 30 32 42 44 54 56 84 86	1568088503226
SPT(16)	2290293789344201677	0 10 40 54 64 66 84 106 114 136 154 156 166 180 210 220	2483786599196