Prime p₀= 2954085894039098339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 22 2 46 2 28 2 166 2 40 2 (?)
a_n: 0 2 108 110 132 134 180 182 210 212 378 380 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 106 22 46 28 166 40

TPT(14)	2954084954646093809	0 2 30 32 72 74 102 104 132 134 300 302 312 314	-939393004530
SPT(16)	2954085284139712213	0 10 40 54 84 108 124 130 144 150 166 190 220 234 264 274	-609899386126
SPT(18)	2954085286936341121	0 22 40 48 58 90 102 142 156 172 186 226 238 270 280 288 306 328	-607102757218
SPT(16)	2954085288629755727	0 32 56 62 74 96 126 146 150 170 200 222 234 240 264 296	-605409342612
SPT(16)	2954085423239799887	0 20 42 122 132 162 240 246 260 266 344 374 384 464 486 506	-470799298452
STPT(10)	2954085617288625497	0 2 30 32 42 44 54 56 84 86	-276750472842
SPT(16)	2954086037771186939	0 78 90 98 110 152 180 192 218 230 258 300 312 320 332 410	143732088600
SPT(16)	2954086194431200523	0 18 30 36 38 66 78 156 170 248 260 288 290 296 308 326	300392102184
TPT(14)	2954086377630204329	0 2 42 44 60 62 162 164 168 170 198 200 258 260	483591105990
SPT(16)	2954086415833231961	0 20 32 60 80 90 98 102 128 132 140 150 170 198 210 230	521794133622
SPT(16)	2954086562797286057	0 12 86 120 176 186 204 206 240 242 260 270 326 360 434 446	668758187718