Prime p₀= 2954086377630204329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 100 2 4 2 28 2 58 2 (?)
a_n: 0 2 42 44 60 62 162 164 168 170 198 200 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=14, 40 16 100 4 28 58

SPT(16)	2954085288629755727	0 32 56 62 74 96 126 146 150 170 200 222 234 240 264 296	-1089000448602
SPT(16)	2954085423239799887	0 20 42 122 132 162 240 246 260 266 344 374 384 464 486 506	-954390404442
STPT(10)	2954085617288625497	0 2 30 32 42 44 54 56 84 86	-760341578832
TPT(14)	2954085894039098339	0 2 108 110 132 134 180 182 210 212 378 380 420 422	-483591105990
SPT(16)	2954086037771186939	0 78 90 98 110 152 180 192 218 230 258 300 312 320 332 410	-339859017390
SPT(16)	2954086194431200523	0 18 30 36 38 66 78 156 170 248 260 288 290 296 308 326	-183199003806
SPT(16)	2954086415833231961	0 20 32 60 80 90 98 102 128 132 140 150 170 198 210 230	38203027632
SPT(16)	2954086562797286057	0 12 86 120 176 186 204 206 240 242 260 270 326 360 434 446	185167081728
STPT(10)	2954087413496856149	0 2 30 32 120 122 210 212 240 242	1035866651820
SPT(16)	2954087611671537487	0 46 72 94 102 126 150 196 300 346 370 394 402 424 450 496	1234041333158
SPT(16)	2954087703980148613	0 40 48 64 118 124 174 220 234 280 330 336 390 406 414 454	1326349944284