Prime p₀= 2202478223347529327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 28 2 10 2 64 2 58 2 40 2 (?)
a_n: 0 2 102 104 132 134 144 146 210 212 270 272 312 314
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: 314
Found by: [SG-FC] hl
db: batch=81, k=14, 100 28 10 64 58 40

SPT(16)	2202477475550256103	0 24 40 114 154 180 184 196 288 300 304 330 370 444 460 484	-747797273224
STPT(10)	2202477488206431341	0 2 6 8 48 50 90 92 96 98	-735141097986
SPT(16)	2202477536354826949	0 40 60 72 82 100 130 180 184 234 264 282 292 304 324 364	-686992702378
STPT(10)	2202477773494403927	0 2 30 32 42 44 54 56 84 86	-449853125400
STPT(10)	2202478184307434387	0 2 12 14 72 74 132 134 144 146	-39040094940
STPT(10)	2202478200246617471	0 2 6 8 48 50 90 92 96 98	-23100911856
SPT(16)	2202478531021596749	0 12 132 164 204 210 290 294 410 414 494 500 540 572 692 704	307674067422
SPT(16)	2202478657401741673	0 30 34 58 78 84 100 120 148 168 184 190 210 234 238 268	434054212346
STPT(12)	2202478743597125027	0 2 12 14 24 26 60 62 72 74 84 86	520249595700
SPT(16)	2202478745229809693	0 8 14 80 86 96 114 126 218 230 248 258 264 330 336 344	521882280366
SPT(16)	2202478980137223883	0 16 36 58 60 88 106 118 156 168 186 214 216 238 258 274	756789694556