Prime p₀= 2302846222349764121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 208 2 22 2 4 2 40 2 88 2 (?)
a_n: 0 2 6 8 216 218 240 242 246 248 288 290 378 380
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: 380
Found by: WTBroughton
db: batch=81, k=14, 4 208 22 4 40 88

STPT(10)	2302843916756021489	0 2 12 14 90 92 168 170 180 182	-2305593742632
STPT(10)	2302844213912785721	0 2 6 8 48 50 90 92 96 98	-2008436978400
STPT(10)	2302844239979772059	0 2 18 20 30 32 42 44 60 62	-1982369992062
STPT(10)	2302845122783478197	0 2 12 14 42 44 72 74 84 86	-1099566285924
SPT(16)	2302845681017738107	0 4 16 52 54 60 82 94 102 114 136 142 144 180 192 196	-541332026014
SPT(16)	2302846147445966431	0 22 60 108 112 130 150 196 222 268 288 306 310 358 396 418	-74903797690
STPT(12)	2302846558310614781	0 2 36 38 48 50 78 80 90 92 126 128	335960850660
SPT(16)	2302846609232931193	0 28 46 54 64 66 78 106 108 136 148 150 160 168 186 214	386883167072
TPT(14)	2302846765707949817	0 2 24 26 30 32 102 104 114 116 222 224 264 266	543358185696
STPT(10)	2302846805331845369	0 2 42 44 60 62 78 80 120 122	582982081248
SPT(16)	2302846989234125701	0 12 30 58 142 198 208 276 352 420 430 486 570 598 616 628	766884361580