Prime p₀= 2871459576787951559 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=82, k=10, 2 10 2 76 2

SPT(16)	2871458124183187933	0 36 70 76 78 136 144 150 154 160 168 226 228 234 268 304	-1452604763626
STPT(10)	2871458457225470009	0 2 18 20 30 32 42 44 60 62	-1119562481550
SPT(16)	2871458808249363289	0 90 100 112 132 150 172 202 210 240 262 280 300 312 322 412	-768538588270
SPT(16)	2871458832995947699	0 42 120 124 142 162 180 190 324 334 352 372 390 394 472 514	-743792003860
STPT(10)	2871458877358333289	0 2 18 20 30 32 42 44 60 62	-699429618270
TPT(14)	2871459054372492581	0 2 48 50 60 62 96 98 126 128 138 140 186 188	-522415458978
SPT(16)	2871460885661815589	0 20 72 74 90 98 114 132 140 158 174 182 198 200 252 272	1308873864030
SPT(16)	2871461129598428957	0 6 14 20 56 62 74 102 104 132 144 150 186 192 200 206	1552810477398
STPT(10)	2871461421715918769	0 2 12 14 90 92 168 170 180 182	1844927967210
TPT(14)	2871461492997917177	0 2 150 152 180 182 402 404 414 416 444 446 450 452	1916209965618
STPT(10)	2871461528943869879	0 2 42 44 90 92 138 140 180 182	1952155918320