Prime p₀= 2497935477703776701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 16 2 40 2 106 2 118 2 (?)
a_n: 0 2 6 8 48 50 66 68 108 110 216 218 336 338
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: 338
Found by: JayPi
db: batch=82, k=14, 4 40 16 40 106 118

TPT(14)	2497934552180943539	0 2 42 44 72 74 102 104 138 140 180 182 210 212	-925522833162
STPT(10)	2497934662929852647	0 2 54 56 72 74 90 92 144 146	-814773924054
SPT(16)	2497934759765180453	0 14 48 54 60 126 146 156 158 168 188 254 260 266 300 314	-717938596248
STPT(10)	2497935187241323631	0 2 6 8 48 50 90 92 96 98	-290462453070
SPT(16)	2497935248523491897	0 14 102 164 194 222 252 264 392 404 434 462 492 554 642 656	-229180284804
SPT(16)	2497935248583017431	0 58 66 108 132 160 178 196 222 240 258 286 310 352 360 418	-229120759270
STPT(10)	2497935532289596031	0 2 6 8 48 50 90 92 96 98	54585819330
SPT(16)	2497935632172482639	0 18 48 92 104 128 132 144 158 170 174 198 210 254 284 302	154468705938
SPT(16)	2497935895504370131	0 18 52 88 100 136 142 156 172 186 192 228 240 276 310 328	417800593430
SPT(16)	2497935941379598661	0 30 36 78 90 128 138 198 200 260 270 308 320 362 368 398	463675821960
SPT(16)	2497936324870180531	0 30 78 96 102 108 148 192 226 270 310 316 322 340 388 418	847166403830