Prime p₀= 2954279265616956971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 88 2 58 2 22 2 34 2 22 2 (?)
a_n: 0 2 156 158 246 248 306 308 330 332 366 368 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 154 88 58 22 34 22

SPT(16)	2954276967880368233	0 48 68 104 120 140 164 174 224 234 258 278 294 330 350 398	-2297736588738
SPT(16)	2954277934030663243	0 28 54 124 150 178 210 240 304 334 366 394 420 490 516 544	-1331586293728
STPT(10)	2954278188565003721	0 2 36 38 78 80 120 122 156 158	-1077051953250
SPT(16)	2954278482502739641	0 18 36 42 78 130 160 162 196 198 228 280 316 322 340 358	-783114217330
STPT(10)	2954279113194605039	0 2 18 20 30 32 42 44 60 62	-152422351932
STPT(10)	2954279182256331887	0 2 24 26 42 44 60 62 84 86	-83360625084
SPT(16)	2954279583125122363	0 28 40 46 94 114 124 196 198 270 280 300 348 354 366 394	317508165392
TPT(14)	2954279683721473817	0 2 12 14 90 92 204 206 372 374 402 404 552 554	418104516846
STPT(10)	2954280127398163061	0 2 36 38 78 80 120 122 156 158	861781206090
STPT(10)	2954280492910277537	0 2 30 32 42 44 54 56 84 86	1227293320566
SPT(16)	2954280729776807099	0 8 32 42 54 84 110 120 152 162 188 218 230 240 264 272	1464159850128