Prime p₀= 2599667087912797541 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 136 2 10 2 208 2 40 2 (?)
a_n: 0 2 6 8 18 20 156 158 168 170 378 380 420 422
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: 422
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 10 136 10 208 40

SPT(16)	2599665946165868389	0 18 42 84 108 112 160 174 208 222 270 274 298 340 364 382	-1141746929152
SPT(16)	2599665969494984497	0 4 72 100 120 142 150 160 186 196 204 226 246 274 342 346	-1118417813044
SPT(16)	2599666003814930381	0 8 36 56 168 170 270 290 378 398 498 500 612 632 660 668	-1084097867160
SPT(16)	2599666214402336089	0 10 28 30 64 84 90 108 160 178 184 204 238 240 258 268	-873510461452
SPT(16)	2599666370656921133	0 24 60 78 84 116 138 144 200 206 228 260 266 284 320 344	-717255876408
SPT(16)	2599666935676733887	0 4 6 30 40 42 76 82 144 150 184 186 196 220 222 226	-152236063654
SPT(16)	2599667177210559319	0 10 22 24 28 58 108 120 142 154 204 234 238 240 252 262	89297761778
STPT(10)	2599667205096193829	0 2 42 44 60 62 78 80 120 122	117183396288
STPT(10)	2599667248455933779	0 2 12 14 30 32 48 50 60 62	160543136238
STPT(10)	2599667545375887191	0 2 6 8 18 20 30 32 36 38	457463089650
SPT(16)	2599667966474523559	0 82 112 114 130 168 270 292 300 322 424 462 478 480 510 592	878561726018