Prime p₀= 2328574355340698789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2328573710569032427	0 4 64 70 72 112 156 244 252 340 384 424 426 432 492 496	-644771666362
STPT(10)	2328573797773107551	0 2 6 8 18 20 30 32 36 38	-557567591238
SPT(16)	2328574029918157739	0 42 48 50 72 78 90 104 198 212 224 230 252 254 260 302	-325422541050
STPT(10)	2328574145570342609	0 2 30 32 60 62 90 92 120 122	-209770356180
SPT(16)	2328574167626019119	0 14 32 48 72 74 182 242 300 360 468 470 494 510 528 542	-187714679670
SPT(16)	2328574235871852049	0 34 48 58 78 154 184 190 222 228 258 334 354 364 378 412	-119468846740
STPT(10)	2328574938179942897	0 2 30 32 42 44 54 56 84 86	582839244108
STPT(10)	2328574961783626679	0 2 12 14 30 32 48 50 60 62	606442927890
SPT(16)	2328575135296976021	0 2 30 96 110 122 140 170 192 222 240 252 266 332 360 362	779956277232
STPT(10)	2328575238546635129	0 2 18 20 30 32 42 44 60 62	883205936340
STPT(10)	2328575497083912689	0 2 18 20 30 32 42 44 60 62	1141743213900