Prime p₀= 2881411413760863419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 46 2 58 2 100 2 136 2 (?)
a_n: 0 2 72 74 120 122 168 170 228 230 330 332 468 470
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: 470
Found by: [SG-FC] hl
db: batch=82, k=14, 70 46 46 58 100 136

SPT(13)	2881410764564089151	0 18 36 66 108 150 168 186 228 270 300 318 336	-649196774268
SPT(16)	2881411169894140777	0 22 24 36 46 64 106 112 144 150 192 210 220 232 234 256	-243866722642
STPT(10)	2881411239009016487	0 2 54 56 72 74 90 92 144 146	-174751846932
SPT(16)	2881411269198471601	0 28 30 40 42 118 130 138 160 168 180 256 258 268 270 298	-144562391818
TPT(14)	2881411290723290177	0 2 30 32 54 56 114 116 144 146 150 152 270 272	-123037573242
STPT(10)	2881411329104840219	0 2 78 80 120 122 162 164 240 242	-84656023200
SPT(16)	2881411662351585949	0 22 70 112 144 160 172 312 322 462 474 490 522 564 612 634	248590722530
STPT(10)	2881411765556404139	0 2 42 44 90 92 138 140 180 182	351795540720
STPT(10)	2881411831233088607	0 2 24 26 42 44 60 62 84 86	417472225188
SPT(16)	2881412476637990663	0 60 84 158 180 264 266 288 326 348 350 434 456 530 554 614	1062877127244
SPT(16)	2881412527174648751	0 30 32 56 86 98 110 168 170 228 240 252 282 306 308 338	1113413785332