Prime p₀= 2722053925829363969 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2722053127706735813	0 8 20 30 50 56 60 68 78 86 90 96 116 126 138 146	-798122628156
STPT(10)	2722053275606099189	0 2 18 20 30 32 42 44 60 62	-650223264780
SPT(16)	2722053303479903359	0 4 42 52 54 82 130 162 172 204 252 280 282 292 330 334	-622349460610
SPT(16)	2722053781783525697	0 6 14 56 60 72 114 156 170 212 254 266 270 312 320 326	-144045838272
STPT(10)	2722053787663355681	0 2 6 8 48 50 90 92 96 98	-138166008288
SPT(16)	2722053898330502587	0 36 54 70 82 190 210 216 280 286 306 414 426 442 460 496	-27498861382
SPT(16)	2722054240069021841	0 36 126 132 152 198 216 246 272 302 320 366 386 392 482 518	314239657872
SPT(16)	2722054561544971769	0 30 42 62 90 132 140 152 162 174 182 224 252 272 284 314	635715607800
SPT(16)	2722054697958639817	0 4 34 36 54 112 166 174 202 210 264 322 340 342 372 376	772129275848
SPT(16)	2722054765157199151	0 10 12 70 82 120 190 220 240 270 340 378 390 448 450 460	839327835182
STPT(10)	2722055936771424311	0 2 36 38 78 80 120 122 156 158	2010942060342