Prime p₀= 2271083225064693131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 40 2 16 2 52 2 76 2 (?)
a_n: 0 2 30 32 96 98 138 140 156 158 210 212 288 290
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: 290
Found by: Orange Kid
db: batch=81, k=14, 28 64 40 16 52 76

SPT(16)	2271082232143365391	0 28 48 60 88 90 178 210 280 312 400 402 430 442 462 490	-992921327740
SPT(16)	2271082238841331387	0 40 54 82 154 156 190 246 280 336 370 372 444 472 486 526	-986223361744
SPT(16)	2271082334848544011	0 22 42 90 106 132 160 166 246 252 280 306 322 370 390 412	-890216149120
SPT(16)	2271082445714338463	0 6 20 36 50 60 78 140 174 236 254 264 278 294 308 314	-779350354668
SPT(16)	2271083032254949489	0 12 42 54 120 124 132 210 274 352 360 364 430 442 472 484	-192809743642
STPT(10)	2271083207841429767	0 2 30 32 60 62 90 92 120 122	-17223263364
STPT(10)	2271083327717785541	0 2 36 38 78 80 120 122 156 158	102653092410
STPT(10)	2271083394510583337	0 2 24 26 42 44 60 62 84 86	169445890206
SPT(16)	2271083645242564037	0 54 84 140 152 200 212 246 260 294 306 354 366 422 452 506	420177870906
SPT(16)	2271083656526452447	0 12 36 64 96 130 144 150 166 172 186 220 252 280 304 316	431461759316
STPT(10)	2271083719130525417	0 2 30 32 42 44 54 56 84 86	494065832286