Prime p₀= 808257264538454867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 64 2 28 2 10 2 28 2 58 2 (?)
a_n: 0 2 24 26 90 92 120 122 132 134 162 164 222 224
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: 224
Found by: marsinph
db: batch=73, k=14, 22 64 28 10 28 58

STPT(10)	808255942960490579	0 2 42 44 60 62 78 80 120 122	-1321577964288
STPT(10)	808256436696454589	0 2 18 20 30 32 42 44 60 62	-827842000278
SPT(16)	808256475173091799	0 12 22 60 78 112 130 142 150 162 180 214 232 270 280 292	-789365363068
TPT(14)	808256546948576261	0 2 18 20 48 50 96 98 126 128 198 200 240 242	-717589878606
SPT(16)	808256962019522101	0 10 42 52 136 196 198 220 258 280 282 342 426 436 468 478	-302518932766
SPT(16)	808257254433629569	0 34 52 72 112 142 192 204 268 280 330 360 400 420 438 472	-10104825298
STPT(12)	808257488515497857	0 2 42 44 90 92 174 176 222 224 264 266	223977042990
SPT(16)	808257628971779669	0 8 14 18 128 132 134 144 158 168 170 174 284 288 294 302	364433324802
SPT(16)	808257926905293769	0 10 42 60 142 144 172 198 214 240 268 270 352 370 402 412	662366838902
SPT(16)	808258194462697301	0 32 72 78 96 110 116 126 152 162 168 182 200 206 246 278	929924242434
TPT(14)	808258268487300791	0 2 156 158 198 200 210 212 240 242 378 380 396 398	1003948845924