Prime p₀= 2125749896877612671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 22 2 34 2 130 2 16 2 (?)
a_n: 0 2 30 32 96 98 120 122 156 158 288 290 306 308
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: 308
Found by: Donn Pike (USAF Ret)
db: batch=80, k=14, 28 64 22 34 130 16

STPT(10)	2125748752470279017	0 2 42 44 72 74 102 104 144 146	-1144407333654
SPT(16)	2125748795731326791	0 6 18 42 50 86 116 120 278 282 312 348 356 380 392 398	-1101146285880
SPT(16)	2125749011730709217	0 6 12 42 72 90 102 114 182 194 206 224 254 284 290 296	-885146903454
SPT(13)	2125749260472215507	0 42 84 120 132 150 162 174 192 204 240 282 324	-636405397164
STPT(10)	2125749298717280777	0 2 30 32 72 74 114 116 144 146	-598160331894
STPT(10)	2125749824020112747	0 2 30 32 72 74 114 116 144 146	-72857499924
STPT(10)	2125749942188648297	0 2 30 32 42 44 54 56 84 86	45311035626
SPT(13)	2125750082706633731	0 6 18 66 78 108 168 228 258 270 318 330 336	185829021060
STPT(10)	2125751645011202027	0 2 30 32 42 44 54 56 84 86	1748133589356
SPT(16)	2125752308886234541	0 58 78 102 120 130 148 172 258 282 300 310 328 352 372 430	2412008621870
TPT(14)	2125752420072418607	0 2 42 44 54 56 72 74 162 164 444 446 462 464	2523194805936