Prime p₀= 2147002993311910397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2147001590208469879	0 10 22 30 54 70 78 100 132 154 162 178 202 210 222 232	-1403103440518
TPT(14)	2147001610035806129	0 2 72 74 90 92 168 170 210 212 282 284 312 314	-1383276104268
SPT(16)	2147001610453832999	0 12 20 62 72 114 128 210 242 324 338 380 390 432 440 452	-1382858077398
SPT(16)	2147001922093944863	0 30 44 50 56 78 98 134 330 366 386 408 414 420 434 464	-1071217965534
SPT(16)	2147002373216783311	0 22 40 42 78 88 106 118 180 192 210 220 256 258 276 298	-620095127086
STPT(10)	2147002961702899187	0 2 30 32 42 44 54 56 84 86	-31609011210
STPT(10)	2147003392095736817	0 2 24 26 42 44 60 62 84 86	398783826420
STPT(10)	2147003800954578701	0 2 36 38 78 80 120 122 156 158	807642668304
SPT(16)	2147003892668321207	0 2 6 14 24 30 36 44 132 140 146 152 162 170 174 176	899356410810
SPT(16)	2147004014119443313	0 4 18 46 64 84 118 148 156 186 220 240 258 286 300 304	1020807532916
SPT(16)	2147004034300182727	0 40 60 124 130 154 180 280 360 460 486 510 516 580 600 640	1040988272330