Prime p₀= 3034541489744410559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 40 2 40 2 34 2 58 2 (?)
a_n: 0 2 12 14 18 20 60 62 102 104 138 140 198 200
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: 200
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 10 4 40 40 34 58

TPT(14)	3034538973893316137	0 2 24 26 54 56 84 86 162 164 180 182 222 224	-2515851094422
TPT(14)	3034540049822058101	0 2 18 20 30 32 60 62 78 80 240 242 258 260	-1439922352458
SPT(18)	3034540231096433929	0 48 108 112 132 190 204 220 244 288 312 328 342 400 420 424 484 532	-1258647976630
SPT(16)	3034540831216929173	0 14 68 80 150 174 188 210 338 360 374 398 468 480 534 548	-658527481386
STPT(10)	3034541303040368741	0 2 6 8 48 50 90 92 96 98	-186704041818
STPT(10)	3034541351217150371	0 2 36 38 78 80 120 122 156 158	-138527260188
SPT(16)	3034541951626687181	0 56 96 108 138 150 182 192 326 336 368 380 410 422 462 518	461882276622
SPT(16)	3034542145727571359	0 2 62 108 114 174 182 192 290 300 308 368 374 420 480 482	655983160800
TPT(14)	3034542171786622589	0 2 72 74 78 80 138 140 162 164 222 224 252 254	682042212030
SPT(16)	3034542350867567003	0 120 126 158 176 200 228 288 398 458 486 510 528 560 566 686	861123156444
SPT(16)	3034542712254643241	0 12 18 56 86 122 138 152 156 170 186 222 252 290 296 308	1222510232682