Prime p₀= 2494731538299168209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 52 2 4 2 28 2 40 2 (?)
a_n: 0 2 72 74 138 140 192 194 198 200 228 230 270 272
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: 272
Found by: [SG-FC] hl
db: batch=82, k=14, 70 64 52 4 28 40

STPT(10)	2494731076150692521	0 2 6 8 18 20 30 32 36 38	-462148475688
SPT(16)	2494731155124692843	0 20 80 116 120 156 198 206 210 218 260 296 300 336 396 416	-383174475366
SPT(16)	2494731289542556213	0 6 28 30 36 78 108 144 160 196 226 268 274 276 298 304	-248756611996
TPT(14)	2494731438793765811	0 2 6 8 48 50 66 68 78 80 126 128 180 182	-99505402398
STPT(10)	2494731449033036999	0 2 42 44 60 62 78 80 120 122	-89266131210
SPT(16)	2494731519935092873	0 18 28 40 70 78 96 106 168 178 196 204 234 246 256 274	-18364075336
SPT(16)	2494731701914914907	0 40 42 60 124 144 156 214 282 340 352 372 436 454 456 496	163615746698
SPT(18)	2494731883633166623	0 24 66 88 96 130 138 180 186 238 244 286 294 328 336 358 400 424	345333998414
SPT(16)	2494732162650107213	0 14 78 86 96 140 170 176 228 234 264 308 318 326 390 404	624350939004
STPT(10)	2494732434010402511	0 2 30 32 78 80 126 128 156 158	895711234302
STPT(10)	2494732477343897699	0 2 18 20 30 32 42 44 60 62	939044729490