Prime p₀= 1809423921603471959 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: [AF>EDLS]_Damien
db: batch=79, k=10, 2 28 2 28 2

SPT(16)	1809422377367896069	0 52 58 64 154 174 234 240 322 328 388 408 498 504 510 562	-1544235575890
SPT(16)	1809422694731212987	0 34 52 54 70 130 150 192 202 244 264 324 340 342 360 394	-1226872258972
STPT(10)	1809422745149587619	0 2 42 44 60 62 78 80 120 122	-1176453884340
TPT(14)	1809422828791867769	0 2 30 32 390 392 408 410 438 440 468 470 672 674	-1092811604190
STPT(10)	1809423198657580871	0 2 30 32 78 80 126 128 156 158	-722945891088
SPT(16)	1809423328894021219	0 10 60 70 78 108 168 184 198 214 274 304 312 322 372 382	-592709450740
STPT(10)	1809423921704100587	0 2 54 56 72 74 90 92 144 146	100628628
SPT(16)	1809423923201232589	0 28 34 72 82 84 114 172 180 238 268 270 280 318 324 352	1597760630
SPT(16)	1809424706231278471	0 30 58 76 96 112 118 132 166 180 186 202 222 240 268 298	784627806512
SPT(16)	1809424867451915167	0 6 42 54 102 136 160 166 180 186 210 244 292 304 340 346	945848443208
SPT(16)	1809425074955669947	0 52 54 66 84 154 196 202 234 240 282 352 370 382 384 436	1153352197988