Prime p₀= 2009270448379585541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 22 2 4 2 10 2 (?)
a_n: 0 2 36 38 66 68 96 98 120 122 126 128 138 140
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: 140
Found by: Landjunge
db: batch=80, k=14, 34 28 28 22 4 10

SPT(16)	2009269444914476939	0 24 54 134 182 192 200 218 234 252 260 270 318 398 428 452	-1003465108602
STPT(10)	2009269485218734001	0 2 6 8 48 50 90 92 96 98	-963160851540
STPT(10)	2009269634881564421	0 2 36 38 78 80 120 122 156 158	-813498021120
SPT(16)	2009269702983445583	0 48 66 80 108 120 168 198 218 248 296 308 336 350 368 416	-745396139958
SPT(16)	2009270158050054121	0 46 88 102 136 138 160 166 222 228 250 252 286 300 342 388	-290329531420
TPT(14)	2009270424619541021	0 2 30 32 66 68 78 80 96 98 240 242 246 248	-23760044520
SPT(16)	2009270613980888149	0 42 48 90 108 112 132 150 220 238 258 262 280 322 328 370	165601302608
STPT(10)	2009271499911077999	0 2 18 20 60 62 102 104 120 122	1051531492458
STPT(10)	2009271557753118479	0 2 18 20 30 32 42 44 60 62	1109373532938
STPT(10)	2009271580168479227	0 2 42 44 72 74 102 104 144 146	1131788893686
STPT(10)	2009271598059926609	0 2 12 14 90 92 168 170 180 182	1149680341068