Prime p₀= 2563953650260334669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 34 2 40 2 88 2 130 2 34 2 (?)
a_n: 0 2 162 164 198 200 240 242 330 332 462 464 498 500
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: 500
Found by: [SG-FC] hl
db: batch=82, k=14, 160 34 40 88 130 34

SPT(16)	2563952653174199809	0 34 84 90 112 124 172 198 214 240 288 300 322 328 378 412	-997086134860
SPT(16)	2563952848509065887	0 4 40 60 124 130 150 174 262 286 306 312 376 396 432 436	-801751268782
SPT(16)	2563952943772475483	0 8 18 48 60 74 90 98 120 128 144 158 170 200 210 218	-706487859186
SPT(16)	2563953279966139069	0 12 28 30 40 78 112 120 130 138 172 210 220 222 238 250	-370294195600
STPT(10)	2563953461191491779	0 2 12 14 90 92 168 170 180 182	-189068842890
STPT(12)	2563953472463549867	0 2 54 56 84 86 120 122 150 152 204 206	-177796784802
SPT(16)	2563954003064024173	0 10 18 28 36 54 70 88 186 204 220 238 246 256 264 274	352803689504
SPT(16)	2563954398950245891	0 66 72 88 106 130 150 168 220 238 258 282 300 316 322 388	748689911222
SPT(16)	2563954418927134481	0 2 20 42 72 86 156 180 182 206 276 290 320 342 360 362	768666799812
STPT(10)	2563954624970778617	0 2 30 32 42 44 54 56 84 86	974710443948
STPT(10)	2563954881500394461	0 2 30 32 78 80 126 128 156 158	1231240059792