Prime p₀= 1126442377793235857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 10 2 58 2

SPT(16)	1126441250986942609	0 4 42 60 78 124 130 144 148 162 168 214 232 250 288 292	-1126806293248
STPT(10)	1126441359061753289	0 2 18 20 60 62 102 104 120 122	-1018731482568
STPT(10)	1126441791471209399	0 2 18 20 30 32 42 44 60 62	-586322026458
SPT(16)	1126442111865192781	0 28 60 126 150 162 168 196 222 250 256 268 292 358 390 418	-265928043076
SPT(16)	1126442124637422947	0 14 90 126 132 146 176 186 380 390 420 434 440 476 552 566	-253155812910
TPT(14)	1126442339677883861	0 2 48 50 90 92 150 152 306 308 330 332 336 338	-38115351996
STPT(10)	1126442492015084987	0 2 12 14 42 44 72 74 84 86	114221849130
STPT(10)	1126442633769900719	0 2 18 20 30 32 42 44 60 62	255976664862
SPT(16)	1126442792058497591	0 12 32 38 42 72 108 152 156 200 236 266 270 276 296 308	414265261734
SPT(16)	1126442835325652063	0 38 48 50 84 104 126 174 200 248 270 290 324 326 336 374	457532416206
STPT(10)	1126442861636942711	0 2 36 38 78 80 120 122 156 158	483843706854