Prime p₀= 2726573400804563309 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)	2726571578296066829	0 20 38 102 108 122 150 170 252 272 300 314 320 384 402 422	-1822508496480
STPT(10)	2726572065832433681	0 2 30 32 78 80 126 128 156 158	-1334972129628
SPT(16)	2726572102688867977	0 22 34 46 60 90 120 126 250 256 286 316 330 342 354 376	-1298115695332
STPT(10)	2726572472276662859	0 2 90 92 150 152 210 212 300 302	-928527900450
SPT(16)	2726572525257547709	0 68 194 210 224 228 270 282 320 332 374 378 392 408 534 602	-875547015600
STPT(10)	2726572737810993749	0 2 18 20 30 32 42 44 60 62	-662993569560
SPT(16)	2726573549456842537	0 22 60 90 96 106 124 130 156 162 180 190 196 226 264 286	148652279228
SPT(16)	2726573612503280083	0 18 64 154 166 180 234 238 246 250 304 318 330 420 466 484	211698716774
STPT(10)	2726573697514071047	0 2 24 26 42 44 60 62 84 86	296709507738
SPT(16)	2726573967638056381	0 10 18 28 30 88 130 150 160 180 222 280 282 292 300 310	566833493072
STPT(10)	2726574073309577471	0 2 30 32 138 140 246 248 276 278	672505014162