Prime p₀= 1214439466997778311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 118 2 64 2 52 2 (?)
a_n: 0 2 36 38 78 80 90 92 210 212 276 278 330 332
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: 332
Found by: vinn@[CNT]
db: batch=77, k=14, 34 40 10 118 64 52

SPT(16)	1214438091057436951	0 18 28 40 52 66 88 102 136 150 172 186 198 210 220 238	-1375940341360
STPT(10)	1214438387667657239	0 2 42 44 90 92 138 140 180 182	-1079330121072
SPT(16)	1214438580147166393	0 6 40 48 66 70 78 106 108 136 144 148 166 174 208 214	-886850611918
SPT(16)	1214438771587530439	0 4 12 82 88 118 144 184 198 238 264 294 300 370 378 382	-695410247872
SPT(16)	1214439269402866763	0 50 78 86 90 138 174 210 224 260 296 344 348 356 384 434	-197594911548
SPT(16)	1214439457601079449	0 20 68 90 102 110 152 158 342 348 390 398 410 432 480 500	-9396698862
SPT(16)	1214439512443794149	0 32 84 102 104 120 128 134 168 174 182 198 200 218 270 302	45446015838
SPT(16)	1214440095264519029	0 8 54 84 90 92 114 162 320 368 390 392 398 428 474 482	628266740718
STPT(12)	1214440121313988769	0 2 12 14 30 32 72 74 90 92 102 104	654316210458
SPT(16)	1214440151519960689	0 4 48 70 84 90 112 130 132 150 172 178 192 214 258 262	684522182378
SPT(16)	1214441003926787359	0 10 34 78 88 160 202 214 258 270 312 384 394 438 462 472	1536929009048