Prime p₀= 2222294812290278771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 58 2 28 2 118 2 58 2 (?)
a_n: 0 2 66 68 78 80 138 140 168 170 288 290 348 350
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: 350
Found by: Penguin
db: batch=81, k=14, 64 10 58 28 118 58

SPT(16)	2222293973050318339	0 30 54 72 82 84 102 174 238 310 328 330 340 358 382 412	-839239960432
STPT(10)	2222294132721182867	0 2 12 14 42 44 72 74 84 86	-679569095904
SPT(16)	2222294300846057927	0 12 20 54 102 152 212 240 254 282 342 392 440 474 482 494	-511444220844
STPT(10)	2222294459568275579	0 2 12 14 90 92 168 170 180 182	-352722003192
SPT(16)	2222294462307238937	0 66 72 74 92 102 156 206 330 380 434 444 462 464 470 536	-349983039834
STPT(10)	2222294616248423147	0 2 54 56 72 74 90 92 144 146	-196041855624
STPT(10)	2222295160442148677	0 2 30 32 42 44 54 56 84 86	348151869906
SPT(18)	2222295486146099227	0 12 42 90 100 132 136 154 156 160 162 180 184 216 226 274 304 316	673855820456
SPT(16)	2222296041126074363	0 20 36 38 84 108 116 146 228 258 266 290 336 338 354 374	1228835795592
STPT(10)	2222296048034414237	0 2 54 56 72 74 90 92 144 146	1235744135466
SPT(16)	2222296230585570301	0 66 78 82 136 142 148 196 222 270 276 282 336 340 352 418	1418295291530