Prime p₀= 2565968269971613487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 70 2 16 2 10 2 40 2 (?)
a_n: 0 2 54 56 120 122 192 194 210 212 222 224 264 266
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: 266
Found by: RFGuy_KCCO
db: batch=82, k=14, 52 64 70 16 10 40

SPT(16)	2565967496447180389	0 28 40 42 72 100 130 172 180 222 252 280 310 312 324 352	-773524433098
SPT(16)	2565967769702467633	0 18 46 66 130 156 214 240 334 360 418 444 508 528 556 574	-500269145854
SPT(16)	2565967877920427089	0 28 30 82 84 102 154 172 240 258 310 328 330 382 384 412	-392051186398
STPT(10)	2565967942900744307	0 2 120 122 162 164 204 206 324 326	-327070869180
STPT(10)	2565968161549595399	0 2 18 20 60 62 102 104 120 122	-108422018088
SPT(16)	2565968213944858433	0 84 110 120 146 168 176 200 204 228 236 258 284 294 320 404	-56026755054
SPT(16)	2565969014586067199	0 48 84 110 194 300 308 314 378 384 392 498 582 608 644 692	744614453712
STPT(10)	2565969067642844861	0 2 6 8 48 50 90 92 96 98	797671231374
SPT(16)	2565969570739189117	0 60 70 112 144 154 210 250 306 346 402 412 444 486 496 556	1300767575630
SPT(16)	2565969647045126363	0 68 74 90 108 138 144 210 254 320 326 356 374 390 396 464	1377073512876
STPT(10)	2565969726308842277	0 2 54 56 72 74 90 92 144 146	1456337228790