Prime p₀= 2797159499604726017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 46 2 40 2 88 2 4 2 82 2 (?)
a_n: 0 2 54 56 102 104 144 146 234 236 240 242 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 52 46 40 88 4 82

SPT(16)	2797157359919780779	0 12 22 34 60 88 102 130 162 190 204 232 258 270 280 292	-2139684945238
STPT(10)	2797158260634631259	0 2 42 44 60 62 78 80 120 122	-1238970094758
SPT(16)	2797158326067080453	0 24 30 60 108 126 156 200 294 338 368 386 434 464 470 494	-1173537645564
SPT(16)	2797158466467249103	0 18 46 58 66 76 108 114 130 136 168 178 186 198 226 244	-1033137476914
SPT(16)	2797158787266344533	0 6 48 54 70 84 106 114 130 138 160 174 190 196 238 244	-712338381484
SPT(18)	2797159124822522723	0 60 74 96 128 138 180 200 204 260 264 284 326 336 368 390 404 464	-374782203294
SPT(16)	2797160204665141559	0 2 14 110 138 144 258 294 338 374 488 494 522 618 630 632	705060415542
SPT(16)	2797160374743449093	0 14 44 78 110 140 144 150 254 260 264 294 326 360 390 404	875138723076
STPT(10)	2797161189375490967	0 2 12 14 42 44 72 74 84 86	1689770764950
SPT(16)	2797161512719447721	0 2 12 30 72 78 96 138 200 242 260 266 308 326 336 338	2013114721704
STPT(10)	2797161547512392831	0 2 36 38 138 140 240 242 276 278	2047907666814