Prime p₀= 863682351308198687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 40 2 4 2 40 2 28 2 40 2 (?)
a_n: 0 2 102 104 144 146 150 152 192 194 222 224 264 266
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: 266
Found by: RFGuy_KCCO
db: batch=73, k=14, 100 40 4 40 28 40

SPT(16)	863681254764752623	0 6 16 28 40 70 136 148 168 180 246 276 288 300 310 316	-1096543446064
STPT(10)	863681454383111381	0 2 96 98 108 110 120 122 216 218	-896925087306
TPT(14)	863681530772708717	0 2 12 14 24 26 42 44 84 86 114 116 144 146	-820535489970
SPT(16)	863681611009653847	0 22 42 46 60 64 66 126 130 190 192 196 210 214 234 256	-740298544840
SPT(16)	863682070582092763	0 40 94 108 138 150 154 156 178 180 184 196 226 240 294 334	-280726105924
TPT(14)	863682255473156681	0 2 18 20 48 50 78 80 156 158 168 170 198 200	-95835042006
SPT(16)	863682579795519931	0 28 42 46 156 168 208 222 226 240 280 292 402 406 420 448	228487321244
TPT(14)	863682858660031217	0 2 12 14 162 164 210 212 330 332 372 374 384 386	507351832530
SPT(16)	863683024875109121	0 20 116 168 170 228 288 300 308 320 380 438 440 492 588 608	673566910434
STPT(10)	863683046374815767	0 2 60 62 102 104 144 146 204 206	695066617080
STPT(10)	863683262336067419	0 2 78 80 120 122 162 164 240 242	911027868732