Prime p₀= 2156839641366053249 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2156838195779110523	0 26 54 60 66 144 186 248 306 368 410 488 494 500 528 554	-1445586942726
STPT(10)	2156838266282622677	0 2 42 44 72 74 102 104 144 146	-1375083430572
SPT(16)	2156838929119147279	0 40 48 52 102 112 168 174 178 184 240 250 300 304 312 352	-712246905970
STPT(10)	2156839175290675649	0 2 42 44 90 92 138 140 180 182	-466075377600
SPT(16)	2156839418500359049	0 4 78 90 94 150 160 220 228 288 298 354 358 370 444 448	-222865694200
SPT(16)	2156839618423245403	0 64 70 76 118 174 196 214 240 258 280 336 378 384 390 454	-22942807846
STPT(10)	2156839662259975907	0 2 30 32 42 44 54 56 84 86	20893922658
SPT(16)	2156840049533371379	0 2 20 50 62 80 92 108 182 198 210 228 240 270 288 290	408167318130
SPT(16)	2156840362653777841	0 78 88 192 250 292 322 340 438 456 486 528 586 690 700 778	721287724592
TPT(14)	2156840380111965011	0 2 36 38 126 128 168 170 228 230 246 248 270 272	738745911762
TPT(14)	2156840397071597117	0 2 12 14 24 26 60 62 72 74 84 86 102 104	755705543868