Prime p₀= 1232673526842388619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1232672163129118097	0 2 12 14 42 44 72 74 84 86	-1363713270522
SPT(16)	1232672387617122871	0 16 28 52 72 100 112 118 210 216 228 256 276 300 312 328	-1139225265748
STPT(10)	1232672934654284087	0 2 30 32 42 44 54 56 84 86	-592188104532
SPT(16)	1232673248537835329	0 2 18 24 42 60 108 150 242 284 332 350 368 374 390 392	-278304553290
SPT(16)	1232673248712151733	0 26 36 104 146 174 180 240 320 380 386 414 456 524 534 560	-278130236886
STPT(10)	1232673350309036717	0 2 12 14 72 74 132 134 144 146	-176533351902
SPT(16)	1232673924763796269	0 28 34 72 124 154 208 210 352 354 408 438 490 528 534 562	397921407650
SPT(16)	1232674010994350233	0 4 18 24 46 64 88 100 114 126 150 168 190 196 210 214	484151961614
STPT(10)	1232674374648069107	0 2 42 44 72 74 102 104 144 146	847805680488
STPT(10)	1232674521112698359	0 2 48 50 90 92 132 134 180 182	994270309740
STPT(10)	1232674624820515307	0 2 54 56 72 74 90 92 144 146	1097978126688