Prime p₀= 2286356646357837281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 88 2 118 2 52 2 154 2 40 2 (?)
a_n: 0 2 126 128 216 218 336 338 390 392 546 548 588 590
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: 590
Found by: JayPi
db: batch=81, k=14, 124 88 118 52 154 40

SPT(16)	2286355604022222721	0 16 18 46 52 66 108 196 312 400 442 456 462 490 492 508	-1042335614560
SPT(16)	2286355811995834759	0 22 48 52 90 118 138 174 208 244 264 292 330 334 360 382	-834362002522
STPT(10)	2286355902445223417	0 2 54 56 132 134 210 212 264 266	-743912613864
STPT(10)	2286356205742186577	0 2 24 26 42 44 60 62 84 86	-440615650704
SPT(16)	2286356372716910729	0 30 42 48 72 102 140 170 240 270 308 338 362 368 380 410	-273640926552
STPT(10)	2286356639408690699	0 2 42 44 90 92 138 140 180 182	-6949146582
SPT(16)	2286356664995993869	0 10 48 54 88 130 144 180 208 244 258 300 334 340 378 388	18638156588
SPT(16)	2286356983343140879	0 28 40 94 114 120 138 174 184 220 238 244 264 318 330 358	336985303598
TPT(14)	2286357447493481489	0 2 12 14 30 32 78 80 108 110 138 140 150 152	801135644208
SPT(16)	2286357596548281791	0 80 140 152 156 162 176 198 230 252 266 272 276 288 348 428	950190444510
STPT(10)	2286357905790258227	0 2 54 56 72 74 90 92 144 146	1259432420946