Prime p₀= 2464398219084245657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 88 2 40 2 28 2 4 2 (?)
a_n: 0 2 12 14 42 44 132 134 174 176 204 206 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 10 28 88 40 28 4

STPT(10)	2464396764866575841	0 2 30 32 78 80 126 128 156 158	-1454217669816
SPT(16)	2464396916133751153	0 46 60 64 84 100 106 120 154 168 174 190 210 214 228 274	-1302950494504
SPT(18)	2464397059064025563	0 8 30 56 66 80 108 170 228 266 324 386 414 428 438 464 486 494	-1160020220094
SPT(16)	2464397503522084381	0 30 42 58 76 102 118 136 192 210 226 252 270 286 298 328	-715562161276
STPT(10)	2464397612781358481	0 2 78 80 108 110 138 140 216 218	-606302887176
SPT(16)	2464397947456814791	0 70 90 120 126 130 136 196 276 336 342 346 352 382 402 472	-271627430866
STPT(10)	2464398324272586017	0 2 30 32 42 44 54 56 84 86	105188340360
TPT(14)	2464398661450726241	0 2 96 98 138 140 180 182 216 218 330 332 348 350	442366480584
TPT(14)	2464398736517591327	0 2 24 26 114 116 240 242 252 254 390 392 474 476	517433345670
SPT(16)	2464398934323550703	0 26 36 78 86 90 96 120 266 290 296 300 308 350 360 386	715239305046
SPT(16)	2464398984314923079	0 8 50 78 98 140 144 180 182 218 222 264 284 312 354 362	765230677422