Prime p₀= 2992387209300040931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 70 2 28 2 40 2 64 2 58 2 (?)
a_n: 0 2 96 98 168 170 198 200 240 242 306 308 366 368
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: 368
Found by: Roadranner
db: batch=82, k=14, 94 70 28 40 64 58

SPT(16)	2992385251790141323	0 4 18 36 54 90 114 120 124 130 154 190 208 226 240 244	-1957509899608
SPT(16)	2992385423596795417	0 34 114 190 196 246 252 256 270 274 280 330 336 412 492 526	-1785703245514
STPT(10)	2992385721289268327	0 2 90 92 102 104 114 116 204 206	-1488010772604
SPT(16)	2992386117234678839	0 12 50 104 122 132 140 152 162 174 182 192 210 264 302 314	-1092065362092
STPT(10)	2992386868793632109	0 2 48 50 60 62 72 74 120 122	-340506408822
SPT(16)	2992387193875192147	0 16 46 84 166 202 222 240 436 454 474 510 592 630 660 676	-15424848784
STPT(10)	2992387514898158471	0 2 6 8 48 50 90 92 96 98	305598117540
SPT(18)	2992387699417878887	0 2 6 12 60 74 116 126 144 152 170 180 222 236 284 290 294 296	490117837956
STPT(10)	2992387858467101399	0 2 42 44 90 92 138 140 180 182	649167060468
STPT(10)	2992388066813544569	0 2 42 44 60 62 78 80 120 122	857513503638
SPT(16)	2992388124283981529	0 2 8 12 14 32 72 74 78 80 120 138 140 144 150 152	914983940598