Prime p₀= 2504786745338979719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 58 2 118 2 46 2 10 2 (?)
a_n: 0 2 48 50 72 74 132 134 252 254 300 302 312 314
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: 314
Found by: [AF>Linux]Rogue 9
db: batch=82, k=14, 46 22 58 118 46 10

TPT(14)	2504784366660379541	0 2 36 38 78 80 90 92 108 110 150 152 246 248	-2378678600178
STPT(10)	2504784702102689717	0 2 42 44 72 74 102 104 144 146	-2043236290002
STPT(10)	2504785169598264689	0 2 42 44 90 92 138 140 180 182	-1575740715030
SPT(16)	2504785996127963299	0 10 12 52 108 120 148 192 250 294 322 334 390 430 432 442	-749211016420
STPT(10)	2504786474907277667	0 2 30 32 42 44 54 56 84 86	-270431702052
SPT(16)	2504786713991919163	0 10 108 114 120 130 184 198 316 330 384 394 400 406 504 514	-31347060556
STPT(10)	2504786856570725327	0 2 12 14 42 44 72 74 84 86	111231745608
SPT(16)	2504786875240144459	0 34 72 90 132 174 202 210 214 222 250 292 334 352 390 424	129901164740
STPT(10)	2504786993554551611	0 2 6 8 48 50 90 92 96 98	248215571892
SPT(16)	2504787092546390959	0 10 112 114 132 150 208 238 264 294 352 370 388 390 492 502	347207411240
SPT(16)	2504787678082954567	0 34 42 70 72 102 130 142 162 174 202 232 234 262 270 304	932743974848