Prime p₀= 1241022881017306949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 16 2 40 2 154 2 52 2 (?)
a_n: 0 2 18 20 72 74 90 92 132 134 288 290 342 344
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: 344
Found by: mcf2020
db: batch=77, k=14, 16 52 16 40 154 52

TPT(14)	1241021575770039377	0 2 30 32 42 44 144 146 222 224 294 296 312 314	-1305247267572
STPT(10)	1241022047755920341	0 2 6 8 18 20 30 32 36 38	-833261386608
SPT(16)	1241022148812890453	0 20 48 74 104 206 254 258 326 330 378 480 510 536 564 584	-732204416496
SPT(16)	1241022162098048503	0 4 24 28 54 70 78 118 306 346 354 370 396 400 420 424	-718919258446
STPT(10)	1241022504474319121	0 2 36 38 78 80 120 122 156 158	-376542987828
SPT(16)	1241022741183849851	0 6 30 66 80 140 210 252 296 338 408 468 482 518 542 548	-139833457098
SPT(16)	1241022889369554211	0 16 46 82 112 198 222 250 258 286 310 396 426 462 492 508	8352247262
SPT(16)	1241023167074906681	0 32 72 98 102 140 168 170 270 272 300 338 342 368 408 440	286057599732
SPT(16)	1241023421497862861	0 20 56 78 138 140 266 302 306 342 468 470 530 552 588 608	540480555912
SPT(16)	1241023537999908571	0 130 142 166 172 186 208 210 238 240 262 276 282 306 318 448	656982601622
STPT(10)	1241023622633969267	0 2 30 32 60 62 90 92 120 122	741616662318