Prime p₀= 2313572892503260439 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2313572188705198781	0 12 20 26 66 68 92 96 122 126 150 152 192 198 206 218	-703798061658
STPT(10)	2313572242141411607	0 2 30 32 72 74 114 116 144 146	-650361848832
SPT(16)	2313572433931219003	0 58 90 144 148 174 208 214 240 246 280 306 310 364 396 454	-458572041436
SPT(16)	2313572568582732923	0 20 26 120 138 146 168 218 258 308 330 338 356 450 456 476	-323920527516
SPT(20)	2313572663005686421	0 16 40 48 78 166 190 198 280 286 330 336 418 426 450 538 568 576 600 616	-229497574018
SPT(16)	2313572687520945947	0 42 54 56 120 134 150 152 174 176 192 206 270 272 284 326	-204982314492
SPT(16)	2313573059947505749	0 4 12 54 82 84 144 150 214 220 280 282 310 352 360 364	167444245310
STPT(10)	2313573095033466779	0 2 42 44 60 62 78 80 120 122	202530206340
STPT(10)	2313573239515485041	0 2 6 8 48 50 90 92 96 98	347012224602
SPT(16)	2313573530763608237	0 20 26 36 50 54 60 102 134 176 182 186 200 210 216 236	638260347798
SPT(16)	2313573568859327963	0 56 66 68 86 104 108 180 284 356 360 378 396 398 408 464	676356067524