Prime p₀= 2871705885313130837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 64 2 28 2 40 2 10 2 (?)
a_n: 0 2 72 74 114 116 180 182 210 212 252 254 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [SG-FC] hl
db: batch=82, k=14, 70 40 64 28 40 10

SPT(16)	2871705082553426989	0 22 34 52 78 88 90 102 160 172 174 184 210 228 240 262	-802759703848
STPT(10)	2871705110541853709	0 2 12 14 30 32 48 50 60 62	-774771277128
SPT(16)	2871705166717531951	0 48 52 60 66 118 132 156 232 256 270 322 328 336 340 388	-718595598886
SPT(16)	2871705500839932683	0 36 66 108 180 194 210 234 290 314 330 344 416 458 488 524	-384473198154
STPT(10)	2871705654147331931	0 2 66 68 138 140 210 212 276 278	-231165798906
SPT(16)	2871705794096426069	0 14 38 60 80 84 110 138 254 282 308 312 332 354 378 392	-91216704768
SPT(16)	2871705964288682971	0 16 22 42 48 66 76 88 90 102 112 130 136 156 162 178	78975552134
STPT(10)	2871706647721554821	0 2 6 8 48 50 90 92 96 98	762408423984
SPT(16)	2871706692151948723	0 18 64 156 174 198 220 246 268 294 316 340 358 450 496 514	806838817886
SPT(16)	2871706814279471797	0 46 54 82 96 156 180 210 256 286 310 370 384 412 420 466	928966340960
STPT(10)	2871707040147327167	0 2 30 32 60 62 90 92 120 122	1154834196330