Prime p₀= 2156804259757388147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 268 2 124 2 10 2 10 2 16 2 (?)
a_n: 0 2 54 56 324 326 450 452 462 464 474 476 492 494
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: 494
Found by: Landjunge
db: batch=81, k=14, 52 268 124 10 10 16

SPT(16)	2156802685579522391	0 56 80 90 92 132 140 152 246 258 266 306 308 318 342 398	-1574177865756
STPT(10)	2156802851052481127	0 2 12 14 42 44 72 74 84 86	-1408704907020
SPT(16)	2156803127681410303	0 18 40 54 58 84 90 144 154 208 214 240 244 258 280 298	-1132075977844
STPT(10)	2156803841395461677	0 2 42 44 72 74 102 104 144 146	-418361926470
STPT(10)	2156803855515569987	0 2 24 26 42 44 60 62 84 86	-404241818160
SPT(18)	2156804165091271403	0 14 26 60 68 96 108 114 138 266 290 296 308 336 344 378 390 404	-94666116744
STPT(10)	2156804385591269969	0 2 18 20 60 62 102 104 120 122	125833881822
STPT(10)	2156804527035511007	0 2 12 14 72 74 132 134 144 146	267278122860
STPT(10)	2156804584678710047	0 2 12 14 72 74 132 134 144 146	324921321900
TPT(14)	2156804748242990471	0 2 66 68 138 140 150 152 168 170 216 218 348 350	488485602324
STPT(10)	2156805077431418969	0 2 78 80 120 122 162 164 240 242	817674030822