Prime p₀= 1297973896546817459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: stoneageman
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1297973098135040099	0 12 38 62 68 80 110 134 168 192 222 234 240 264 290 302	-798411777360
SPT(16)	1297973245733917759	0 4 10 30 42 48 90 132 220 262 304 310 322 342 348 352	-650812899700
STPT(12)	1297973314769203571	0 2 48 50 78 80 90 92 120 122 168 170	-581777613888
STPT(10)	1297973584084159061	0 2 30 32 78 80 126 128 156 158	-312462658398
STPT(10)	1297973611692510419	0 2 42 44 60 62 78 80 120 122	-284854307040
STPT(10)	1297973847273047699	0 2 18 20 30 32 42 44 60 62	-49273769760
SPT(16)	1297974046688789021	0 38 62 132 138 168 192 222 236 266 290 320 326 396 420 458	150141971562
SPT(16)	1297974052770697327	0 12 42 76 82 156 160 214 252 306 310 384 390 424 454 466	156223879868
SPT(16)	1297974144716079307	0 10 22 120 126 136 154 192 274 312 330 340 346 444 456 466	248169261848
STPT(10)	1297974217032855587	0 2 30 32 42 44 54 56 84 86	320486038128
SPT(16)	1297974703311731267	0 44 54 86 96 102 114 144 212 242 254 260 270 302 312 356	806764913808