Prime p₀= 2565071649683673197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 106 2 40 2 4 2 28 2 (?)
a_n: 0 2 72 74 114 116 222 224 264 266 270 272 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 70 40 106 40 4 28

SPT(16)	2565070542515824867	0 6 34 40 184 196 210 220 300 310 324 336 480 486 514 520	-1107167848330
STPT(10)	2565070654610989709	0 2 30 32 60 62 90 92 120 122	-995072683488
SPT(16)	2565070754620363217	0 30 54 56 104 126 132 140 186 194 200 222 270 272 296 326	-895063309980
SPT(16)	2565070801878432931	0 40 66 76 160 172 186 220 252 286 300 312 396 406 432 472	-847805240266
SPT(16)	2565070965022248037	0 4 34 54 60 64 84 90 124 130 150 154 160 180 210 214	-684661425160
STPT(10)	2565071339942609579	0 2 48 50 90 92 132 134 180 182	-309741063618
SPT(16)	2565072737633705591	0 36 48 90 140 168 206 230 246 270 308 336 386 428 440 476	1087950032394
SPT(16)	2565072770044923979	0 40 52 112 154 162 190 240 262 312 340 348 390 450 462 502	1120361250782
SPT(16)	2565072962725148101	0 6 18 28 42 46 48 58 120 130 132 136 150 160 172 178	1313041474904
STPT(10)	2565072990012916907	0 2 30 32 42 44 54 56 84 86	1340329243710
SPT(16)	2565073711697344301	0 20 60 80 86 128 180 186 362 368 420 462 468 488 528 548	2062013671104