Prime p₀= 2302846765707949817 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 70 2 10 2 106 2 40 2 (?)
a_n: 0 2 24 26 30 32 102 104 114 116 222 224 264 266
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: 266
Found by: WTBroughton
db: batch=81, k=14, 22 4 70 10 106 40

STPT(10)	2302845122783478197	0 2 12 14 42 44 72 74 84 86	-1642924471620
SPT(16)	2302845681017738107	0 4 16 52 54 60 82 94 102 114 136 142 144 180 192 196	-1084690211710
SPT(16)	2302846147445966431	0 22 60 108 112 130 150 196 222 268 288 306 310 358 396 418	-618261983386
TPT(14)	2302846222349764121	0 2 6 8 216 218 240 242 246 248 288 290 378 380	-543358185696
STPT(12)	2302846558310614781	0 2 36 38 48 50 78 80 90 92 126 128	-207397335036
SPT(16)	2302846609232931193	0 28 46 54 64 66 78 106 108 136 148 150 160 168 186 214	-156475018624
STPT(10)	2302846805331845369	0 2 42 44 60 62 78 80 120 122	39623895552
SPT(16)	2302846989234125701	0 12 30 58 142 198 208 276 352 420 430 486 570 598 616 628	223526175884
SPT(16)	2302847307599755261	0 88 108 112 178 198 210 262 276 328 340 360 426 430 450 538	541891805444
SPT(16)	2302847348904311401	0 58 66 70 108 150 156 180 208 232 238 280 318 322 330 388	583196361584
SPT(16)	2302847447708839741	0 76 112 136 156 168 180 202 216 238 250 262 282 306 342 418	682000889924