Prime p₀= 2496839075271077219 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 34 2 82 2 34 2 148 2 (?)
a_n: 0 2 48 50 102 104 138 140 222 224 258 260 408 410
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: 410
Found by: JayPi
db: batch=82, k=14, 46 52 34 82 34 148

SPT(16)	2496836660185276883	0 90 108 110 144 174 180 224 234 278 284 314 348 350 368 458	-2415085800336
STPT(10)	2496837232579635269	0 2 18 20 30 32 42 44 60 62	-1842691441950
STPT(10)	2496837471326077049	0 2 18 20 30 32 42 44 60 62	-1603945000170
SPT(16)	2496837529656012847	0 36 54 90 132 150 154 156 160 162 166 184 226 262 280 316	-1545615064372
SPT(16)	2496837553420539029	0 2 38 68 72 74 78 162 200 284 288 290 294 324 360 362	-1521850538190
SPT(16)	2496837929345499959	0 14 24 90 92 140 150 182 192 224 234 282 284 350 360 374	-1145925577260
TPT(14)	2496839402522144789	0 2 30 32 48 50 72 74 102 104 222 224 390 392	327251067570
STPT(10)	2496839607444571577	0 2 24 26 42 44 60 62 84 86	532173494358
SPT(16)	2496839810459243839	0 72 88 102 108 142 150 172 258 280 288 322 328 342 358 430	735188166620
SPT(16)	2496839816103808247	0 2 42 74 80 102 116 206 210 300 314 336 342 374 414 416	740832731028
TPT(14)	2496839897596894217	0 2 12 14 42 44 54 56 144 146 174 176 222 224	822325816998