Prime p₀= 2561546277815786927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 76 2 58 2 100 2 (?)
a_n: 0 2 12 14 24 26 42 44 120 122 180 182 282 284
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: 284
Found by: conf [MM]
db: batch=82, k=14, 10 10 16 76 58 100

STPT(10)	2561544436372891139	0 2 18 20 30 32 42 44 60 62	-1841442895788
SPT(16)	2561544612458805157	0 22 34 52 66 84 90 106 120 136 142 160 174 192 204 226	-1665356981770
TPT(14)	2561545692970490507	0 2 12 14 54 56 72 74 150 152 204 206 210 212	-584845296420
SPT(16)	2561545744330164953	0 8 50 86 96 104 114 170 264 320 330 338 348 384 426 434	-533485621974
STPT(10)	2561545973030877797	0 2 30 32 42 44 54 56 84 86	-304784909130
SPT(16)	2561546095317529703	0 54 66 108 126 138 140 164 180 204 206 218 236 278 290 344	-182498257224
SPT(16)	2561546996263341391	0 6 16 18 28 30 42 48 100 106 118 120 130 132 142 148	718447554464
SPT(16)	2561547204355207511	0 6 32 48 50 78 120 126 182 188 230 258 260 276 302 308	926539420584
STPT(10)	2561547705825357827	0 2 30 32 42 44 54 56 84 86	1428009570900
SPT(16)	2561547897266504557	0 6 22 34 60 94 124 126 130 132 162 196 222 234 250 256	1619450717630
SPT(16)	2561548061151271133	0 18 78 140 144 174 186 194 210 218 230 260 264 326 386 404	1783335484206