Prime p₀= 808258268487300791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 40 2 10 2 28 2 136 2 16 2 (?)
a_n: 0 2 156 158 198 200 210 212 240 242 378 380 396 398
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: 398
Found by: matsu_pl
db: batch=73, k=14, 154 40 10 28 136 16

SPT(16)	808257254433629569	0 34 52 72 112 142 192 204 268 280 330 360 400 420 438 472	-1014053671222
TPT(14)	808257264538454867	0 2 24 26 90 92 120 122 132 134 162 164 222 224	-1003948845924
STPT(12)	808257488515497857	0 2 42 44 90 92 174 176 222 224 264 266	-779971802934
SPT(16)	808257628971779669	0 8 14 18 128 132 134 144 158 168 170 174 284 288 294 302	-639515521122
SPT(16)	808257926905293769	0 10 42 60 142 144 172 198 214 240 268 270 352 370 402 412	-341582007022
SPT(16)	808258194462697301	0 32 72 78 96 110 116 126 152 162 168 182 200 206 246 278	-74024603490
STPT(10)	808258486537820411	0 2 30 32 60 62 90 92 120 122	218050519620
STPT(10)	808258613934844559	0 2 48 50 90 92 132 134 180 182	345447543768
SPT(16)	808258765837017727	0 16 24 40 52 70 100 112 264 276 306 324 336 352 360 376	497349716936
SPT(16)	808258872499787923	0 48 54 60 64 76 100 118 126 144 168 180 184 190 196 244	604012487132
STPT(10)	808259581074933899	0 2 18 20 30 32 42 44 60 62	1312587633108