Prime p₀= 2334858869246615351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 112 2 34 2 28 2 10 2 10 2 (?)
a_n: 0 2 96 98 210 212 246 248 276 278 288 290 300 302
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: 302
Found by: Orange Kid
db: batch=81, k=14, 94 112 34 28 10 10

SPT(16)	2334856646931115861	0 12 42 52 82 100 112 126 166 180 192 210 240 250 280 292	-2222315499490
STPT(10)	2334858055294671659	0 2 18 20 30 32 42 44 60 62	-813951943692
TPT(14)	2334858297475612457	0 2 24 26 84 86 132 134 150 152 174 176 222 224	-571771002894
STPT(10)	2334858327802502441	0 2 36 38 78 80 120 122 156 158	-541444112910
STPT(10)	2334858398338025381	0 2 6 8 48 50 90 92 96 98	-470908589970
SPT(16)	2334858404439342767	0 6 42 66 96 144 164 206 300 342 362 410 440 464 500 506	-464807272584
STPT(10)	2334859086052828001	0 2 6 8 18 20 30 32 36 38	216806212650
SPT(16)	2334859429443698359	0 28 90 130 142 210 252 268 294 310 352 420 432 472 534 562	560197083008
SPT(16)	2334860009468056849	0 18 34 42 70 78 100 102 130 132 154 162 190 198 214 232	1140221441498
SPT(16)	2334860534351651477	0 90 114 120 122 140 156 162 224 230 246 264 266 272 296 386	1665105036126
STPT(10)	2334860924012323841	0 2 30 32 138 140 246 248 276 278	2054765708490