Prime p₀= 1289371622378686571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 16 2 40 2 46 2 118 2 (?)
a_n: 0 2 6 8 30 32 48 50 90 92 138 140 258 260
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: 260
Found by: Cruncher Pete
db: batch=77, k=14, 4 22 16 40 46 118

TPT(14)	1289369344929955097	0 2 12 14 30 32 132 134 144 146 210 212 222 224	-2277448731474
TPT(14)	1289370416589945449	0 2 42 44 132 134 180 182 210 212 222 224 270 272	-1205788741122
STPT(10)	1289370633436447277	0 2 42 44 72 74 102 104 144 146	-988942239294
SPT(16)	1289370692257413379	0 18 28 70 84 94 108 118 120 130 144 154 168 210 220 238	-930121273192
SPT(16)	1289371046860156751	0 30 66 72 102 108 122 140 168 186 200 206 236 242 278 308	-575518529820
SPT(16)	1289371391560872811	0 22 66 78 102 118 120 192 196 268 270 286 310 322 366 388	-230817813760
STPT(10)	1289371775287845419	0 2 42 44 60 62 78 80 120 122	152909158848
TPT(14)	1289371798597632569	0 2 30 32 42 44 72 74 162 164 198 200 288 290	176218945998
SPT(16)	1289371811757552493	0 66 76 78 88 90 106 120 136 150 166 168 178 180 190 256	189378865922
SPT(16)	1289371823615889659	0 8 20 78 84 128 132 294 338 500 504 548 554 612 624 632	201237203088
STPT(10)	1289372126202722477	0 2 24 26 42 44 60 62 84 86	503824035906