Prime p₀= 2842906354801013561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 10 2 16 2 112 2 46 2 (?)
a_n: 0 2 30 32 156 158 168 170 186 188 300 302 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 28 124 10 16 112 46

TPT(14)	2842905063105237749	0 2 12 14 48 50 78 80 132 134 150 152 210 212	-1291695775812
SPT(16)	2842905175800279409	0 28 42 54 72 94 124 198 274 348 378 400 418 430 444 472	-1179000734152
SPT(18)	2842905566548608149	0 14 44 114 120 128 140 162 168 194 200 222 234 242 248 318 348 362	-788252405412
SPT(16)	2842905971680262597	0 6 32 50 62 74 90 96 140 146 162 174 186 204 230 236	-383120750964
STPT(10)	2842906048249798079	0 2 48 50 90 92 132 134 180 182	-306551215482
SPT(16)	2842906087182527893	0 28 36 60 88 114 220 226 288 294 400 426 454 478 486 514	-267618485668
SPT(16)	2842906676834027021	0 102 108 110 150 162 210 218 252 260 308 320 360 362 368 470	322033013460
SPT(16)	2842906851002797877	0 20 30 72 90 104 110 152 162 204 210 224 242 284 294 314	496201784316
SPT(16)	2842906977199426441	0 42 82 90 106 118 120 196 252 328 330 342 358 366 406 448	622398412880
STPT(10)	2842907077170004211	0 2 6 8 48 50 90 92 96 98	722368990650
SPT(16)	2842907112165088223	0 14 50 84 90 110 120 126 188 194 204 224 230 264 300 314	757364074662