Prime p₀= 2215136762634434411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 28 2 4 2 40 2 106 2 (?)
a_n: 0 2 36 38 90 92 120 122 126 128 168 170 276 278
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: 278
Found by: Orange Kid
db: batch=81, k=14, 34 52 28 4 40 106

STPT(10)	2215134737706504881	0 2 36 38 78 80 120 122 156 158	-2024927929530
SPT(18)	2215134907158283211	0 2 12 26 56 78 90 156 252 266 362 428 440 462 492 506 516 518	-1855476151200
SPT(16)	2215135224173070349	0 24 78 100 120 142 258 262 300 304 420 442 462 484 538 562	-1538461364062
STPT(10)	2215136504936375717	0 2 30 32 72 74 114 116 144 146	-257698058694
SPT(16)	2215136672048326307	0 12 26 50 56 86 92 134 162 204 210 240 246 270 284 296	-90586108104
STPT(12)	2215136736589551107	0 2 12 14 54 56 90 92 132 134 144 146	-26044883304
SPT(16)	2215137044886125471	0 2 96 180 212 242 248 258 290 300 306 336 368 452 546 548	282251691060
SPT(16)	2215137113123917963	0 36 40 70 78 88 114 154 180 220 246 256 264 294 298 334	350489483552
SPT(16)	2215137366308638501	0 22 30 46 88 186 190 240 268 318 322 420 462 478 486 508	603674204090
STPT(10)	2215137446631600989	0 2 42 44 120 122 198 200 240 242	683997166578
TPT(14)	2215137589755456599	0 2 72 74 102 104 120 122 198 200 210 212 330 332	827121022188