Prime p₀= 3007850418331612127 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 178 2 16 2 136 2 10 2 46 2 (?)
a_n: 0 2 24 26 204 206 222 224 360 362 372 374 420 422
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: Orange Kid
db: batch=82, k=14, 22 178 16 136 10 46

SPT(16)	3007848906741177727	0 16 70 76 82 90 126 246 286 406 442 450 456 462 516 532	-1511590434400
SPT(16)	3007849112449596511	0 46 82 88 96 120 162 172 186 196 238 262 270 276 312 358	-1305882015616
SPT(16)	3007849147176229541	0 48 50 56 72 98 110 138 170 198 210 236 252 258 260 308	-1271155382586
TPT(14)	3007849669320197489	0 2 30 32 60 62 138 140 168 170 210 212 282 284	-749011414638
STPT(10)	3007850095639367117	0 2 60 62 72 74 84 86 144 146	-322692245010
STPT(10)	3007850212384232177	0 2 30 32 42 44 54 56 84 86	-205947379950
STPT(10)	3007850617247521217	0 2 42 44 72 74 102 104 144 146	198915909090
SPT(16)	3007850673699417263	0 26 50 104 258 260 288 300 314 326 354 356 510 564 588 614	255367805136
SPT(16)	3007851279441449503	0 6 28 40 66 76 88 210 226 348 360 370 396 408 430 436	861109837376
SPT(16)	3007851871168244473	0 6 28 36 48 58 64 70 114 120 126 136 148 156 178 184	1452836632346
SPT(16)	3007851879320423621	0 2 36 80 90 132 140 150 272 282 290 332 342 386 420 422	1460988811494