Prime p₀= 2563877200024342427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 28 2 28 2 34 2 40 2 (?)
a_n: 0 2 12 14 24 26 54 56 84 86 120 122 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=14, 10 10 28 28 34 40

STPT(10)	2563876161585809657	0 2 30 32 72 74 114 116 144 146	-1038438532770
TPT(14)	2563876508493435899	0 2 12 14 108 110 150 152 282 284 288 290 450 452	-691530906528
TPT(14)	2563876709731443809	0 2 138 140 150 152 162 164 222 224 390 392 420 422	-490292898618
SPT(16)	2563877070392840621	0 20 42 72 86 90 96 116 126 146 152 156 170 200 222 242	-129631501806
STPT(10)	2563877123978210141	0 2 6 8 48 50 90 92 96 98	-76046132286
SPT(16)	2563877176343462633	0 36 56 66 78 84 86 98 156 168 170 176 188 198 218 254	-23680879794
SPT(16)	2563877218149653167	0 10 12 40 124 132 144 150 196 202 214 222 306 334 336 346	18125310740
SPT(16)	2563877375516361899	0 30 44 54 60 78 134 210 278 354 410 428 434 444 458 488	175492019472
SPT(16)	2563877597629055483	0 66 68 80 90 98 140 158 216 234 276 284 294 306 308 374	397604713056
SPT(16)	2563877636010238417	0 30 34 36 70 90 102 154 192 244 256 276 310 312 316 346	435985895990
STPT(10)	2563877746713026741	0 2 6 8 48 50 90 92 96 98	546688684314