Prime p₀= 2637597328236324821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 4 2 22 2 46 2 10 2 (?)
a_n: 0 2 6 8 90 92 96 98 120 122 168 170 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 4 82 4 22 46 10

STPT(10)	2637596593837525121	0 2 6 8 48 50 90 92 96 98	-734398799700
TPT(14)	2637596627377204289	0 2 12 14 30 32 42 44 60 62 168 170 240 242	-700859120532
SPT(16)	2637596683570903729	0 10 42 58 72 94 100 114 148 162 168 190 204 220 252 262	-644665421092
SPT(16)	2637596940210852559	0 70 102 112 130 144 198 210 232 244 298 312 330 340 372 442	-388025472262
SPT(16)	2637597109157798861	0 6 50 66 90 108 156 240 266 350 398 416 440 456 500 506	-219078525960
STPT(10)	2637597239373024749	0 2 18 20 30 32 42 44 60 62	-88863300072
STPT(10)	2637597394179555257	0 2 90 92 102 104 114 116 204 206	65943230436
TPT(14)	2637598358966056229	0 2 72 74 120 122 282 284 300 302 330 332 342 344	1030729731408
TPT(14)	2637598376772658667	0 2 12 14 90 92 144 146 222 224 240 242 252 254	1048536333846
SPT(16)	2637598445199257129	0 38 78 80 98 134 140 168 170 198 204 240 258 260 300 338	1116962932308
TPT(14)	2637598608440985281	0 2 30 32 138 140 180 182 330 332 336 338 420 422	1280204660460