Prime p₀= 2546884869844306631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 256 2 40 2 34 2 118 2 40 2 16 2 (?)
a_n: 0 2 258 260 300 302 336 338 456 458 498 500 516 518
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: 518
Found by: JayPi
db: batch=82, k=14, 256 40 34 118 40 16

STPT(10)	2546883942845424731	0 2 6 8 48 50 90 92 96 98	-926998881900
STPT(10)	2546883990593873549	0 2 12 14 90 92 168 170 180 182	-879250433082
SPT(16)	2546884515470997061	0 28 100 142 150 156 162 178 180 196 202 208 216 258 330 358	-354373309570
STPT(10)	2546884564977152339	0 2 18 20 30 32 42 44 60 62	-304867154292
STPT(10)	2546884737852763277	0 2 30 32 72 74 114 116 144 146	-131991543354
SPT(16)	2546884823973960577	0 24 42 94 150 196 232 274 342 384 420 466 522 574 592 616	-45870346054
STPT(10)	2546884989453052979	0 2 132 134 150 152 168 170 300 302	119608746348
STPT(10)	2546885015113070459	0 2 42 44 60 62 78 80 120 122	145268763828
STPT(10)	2546885740769268161	0 2 6 8 48 50 90 92 96 98	870924961530
SPT(16)	2546885839762396031	0 6 8 12 18 26 30 78 110 158 162 170 176 180 182 188	969918089400
SPT(16)	2546885952799831117	0 24 52 70 72 96 112 166 270 324 340 364 366 384 412 436	1082955524486