Prime p₀= 2688490732941382319 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2688489910168151809	0 4 42 48 54 58 70 84 88 102 114 118 124 130 168 172	-822773230510
SPT(16)	2688490041305309113	0 6 66 78 90 96 108 120 166 178 190 196 208 220 280 286	-691636073206
SPT(16)	2688490458498722497	0 34 46 54 90 100 102 124 132 154 156 166 202 210 222 256	-274442659822
STPT(10)	2688490519215312569	0 2 18 20 30 32 42 44 60 62	-213726069750
SPT(16)	2688490634325296681	0 80 126 138 180 236 248 258 290 300 312 368 410 422 468 548	-98616085638
SPT(16)	2688490689365027653	0 18 30 36 78 138 144 190 204 250 256 316 358 364 376 394	-43576354666
STPT(10)	2688491098772770607	0 2 30 32 42 44 54 56 84 86	365831388288
STPT(10)	2688491251396342517	0 2 30 32 72 74 114 116 144 146	518454960198
SPT(16)	2688491300894649511	0 18 28 42 48 66 70 72 106 108 112 130 136 150 160 178	567953267192
STPT(10)	2688491419679795699	0 2 12 14 30 32 48 50 60 62	686738413380
SPT(16)	2688492051039051883	0 36 48 90 114 120 156 168 226 238 274 280 304 346 358 394	1318097669564