Prime p₀= 2014244635209062489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 22 2 16 2 10 2 64 2 70 2 (?)
a_n: 0 2 78 80 102 104 120 122 132 134 198 200 270 272
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-2W]Kurzer
db: batch=80, k=14, 76 22 16 10 64 70

STPT(10)	2014243730896047377	0 2 24 26 42 44 60 62 84 86	-904313015112
SPT(16)	2014243750974655019	0 24 42 78 92 114 122 138 224 240 248 270 284 320 338 362	-884234407470
STPT(10)	2014243956999073601	0 2 6 8 48 50 90 92 96 98	-678209988888
SPT(16)	2014244258698441307	0 14 42 54 116 146 222 240 296 314 390 420 482 494 522 536	-376510621182
SPT(16)	2014244366549628709	0 18 42 82 84 88 112 138 184 210 234 238 240 280 304 322	-268659433780
SPT(16)	2014244475126897973	0 4 16 78 114 120 144 156 178 190 214 220 256 318 330 334	-160082164516
STPT(10)	2014244655737595947	0 2 12 14 42 44 72 74 84 86	20528533458
SPT(16)	2014244977997110343	0 20 24 30 56 60 80 114 200 234 254 258 284 290 294 314	342788047854
SPT(18)	2014245130175473049	0 98 114 140 158 264 290 294 368 444 518 522 548 654 672 698 714 812	494966410560
SPT(16)	2014245269950934807	0 2 26 30 42 80 140 180 182 222 282 320 332 336 360 362	634741872318
SPT(16)	2014245380344956481	0 6 22 52 88 90 130 178 270 318 358 360 396 426 442 448	745135893992