Prime p₀= 2577376754458800989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2577375147419328197	0 32 42 86 102 134 156 186 200 230 252 284 300 344 354 386	-1607039472792
SPT(16)	2577375152256415879	0 30 54 60 88 90 114 124 174 184 208 210 238 244 268 298	-1602202385110
STPT(10)	2577375970260065729	0 2 18 20 30 32 42 44 60 62	-784198735260
SPT(16)	2577376054494887339	0 14 84 102 114 122 150 168 284 302 330 338 350 368 438 452	-699963913650
STPT(10)	2577376090328826119	0 2 12 14 90 92 168 170 180 182	-664129974870
SPT(16)	2577376402136272859	0 12 38 62 80 122 128 132 170 174 180 222 240 264 290 302	-352322528130
STPT(10)	2577376761493331417	0 2 42 44 72 74 102 104 144 146	7034530428
SPT(16)	2577377243339847997	0 24 102 112 144 310 312 324 340 352 354 520 552 562 640 664	488881047008
SPT(16)	2577377410977094939	0 10 48 54 78 82 90 198 244 352 360 364 388 394 432 442	656518293950
STPT(10)	2577377606447207297	0 2 30 32 42 44 54 56 84 86	851988406308
SPT(16)	2577377705056214213	0 38 44 60 114 116 128 174 290 336 348 350 404 420 426 464	950597413224