Prime p₀= 2739022431587609579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 22 2 4 2 28 2 10 2 (?)
a_n: 0 2 60 62 168 170 192 194 198 200 228 230 240 242
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: 242
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 58 106 22 4 28 10

STPT(10)	2739021717022369661	0 2 36 38 78 80 120 122 156 158	-714565239918
SPT(16)	2739021734498309011	0 10 16 42 48 66 82 96 112 126 142 160 166 192 198 208	-697089300568
STPT(10)	2739021951559944899	0 2 30 32 60 62 90 92 120 122	-480027664680
TPT(14)	2739022143135484469	0 2 18 20 30 32 42 44 222 224 228 230 258 260	-288452125110
SPT(16)	2739022264555994941	0 28 42 66 118 166 168 196 222 250 252 300 352 376 390 418	-167031614638
SPT(16)	2739022281063015463	0 60 66 88 106 120 126 256 318 448 454 468 486 508 514 574	-150524594116
SPT(16)	2739022502010294289	0 10 34 54 84 124 168 192 280 304 348 388 418 438 462 472	70422684710
SPT(16)	2739022530362263661	0 42 66 80 102 150 206 216 242 252 308 356 378 392 416 458	98774654082
STPT(10)	2739022662227552759	0 2 42 44 60 62 78 80 120 122	230639943180
STPT(12)	2739022748163090407	0 2 30 32 42 44 132 134 144 146 174 176	316575480828
STPT(10)	2739023168083194917	0 2 12 14 42 44 72 74 84 86	736495585338