Prime p₀= 2992476001993393187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 52 2 136 2 16 2 22 2 208 2 (?)
a_n: 0 2 60 62 114 116 252 254 270 272 294 296 504 506
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: 506
Found by: [SG-FC] hl
db: batch=82, k=14, 58 52 136 16 22 208

SPT(16)	2992474275888327589	0 28 30 34 78 94 100 120 142 162 168 184 228 232 234 262	-1726105065598
SPT(16)	2992474797867418301	0 20 26 32 62 98 120 132 146 158 180 216 246 252 258 278	-1204125974886
SPT(16)	2992475014780325281	0 12 60 70 76 102 142 172 210 240 280 306 312 322 370 382	-987213067906
STPT(10)	2992475232773747681	0 2 36 38 78 80 120 122 156 158	-769219645506
STPT(10)	2992475496078598457	0 2 42 44 72 74 102 104 144 146	-505914794730
STPT(10)	2992475770099093541	0 2 6 8 48 50 90 92 96 98	-231894299646
SPT(16)	2992476003922548509	0 18 20 98 108 200 218 224 318 324 342 434 444 522 524 542	1929155322
STPT(10)	2992476155797394051	0 2 36 38 78 80 120 122 156 158	153804000864
SPT(16)	2992476671928573461	0 38 48 98 150 186 198 212 246 260 272 308 360 410 420 458	669935180274
STPT(10)	2992476915289680389	0 2 18 20 30 32 42 44 60 62	913296287202
SPT(16)	2992477077327069169	0 4 18 118 208 210 250 294 304 348 388 390 480 580 594 598	1075333675982