Prime p₀= 2601811270569955889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 58 2 76 2 40 2 16 2 (?)
a_n: 0 2 18 20 30 32 90 92 168 170 210 212 228 230
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: 230
Found by: Dirk Broer
db: batch=82, k=14, 16 10 58 76 40 16

SPT(16)	2601809522107599499	0 28 40 48 108 112 160 174 238 252 300 304 364 372 384 412	-1748462356390
SPT(16)	2601809568760101431	0 6 20 26 50 72 86 90 98 102 116 138 162 168 182 188	-1701809854458
SPT(16)	2601809770677121679	0 8 68 98 110 120 162 188 252 278 320 330 342 372 432 440	-1499892834210
STPT(10)	2601810481258316957	0 2 30 32 72 74 114 116 144 146	-789311638932
TPT(14)	2601810510712099859	0 2 30 32 72 74 102 104 168 170 210 212 240 242	-759857856030
STPT(10)	2601810749431149647	0 2 30 32 42 44 54 56 84 86	-521138806242
SPT(16)	2601811554953222819	0 30 84 104 138 158 168 188 264 284 294 314 348 368 422 452	284383266930
STPT(10)	2601811561514471399	0 2 42 44 60 62 78 80 120 122	290944515510
SPT(13)	2601811573906069411	0 12 42 78 90 132 150 168 210 222 258 288 300	303336113522
STPT(10)	2601812286368010629	0 2 12 14 90 92 168 170 180 182	1015798054740
SPT(16)	2601812528488964447	0 20 44 54 56 126 170 216 230 276 320 390 392 402 426 446	1257919008558