Prime p₀= 2306642582361796169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 34 2 28 2 28 2 22 2 (?)
a_n: 0 2 30 32 72 74 108 110 138 140 168 170 192 194
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: 194
Found by: Orange Kid
db: batch=81, k=14, 28 40 34 28 28 22

SPT(16)	2306642114376229429	0 4 30 34 64 70 108 130 132 154 192 198 228 232 258 262	-467985566740
STPT(10)	2306642163253616759	0 2 18 20 30 32 42 44 60 62	-419108179410
SPT(16)	2306642239501949731	0 100 120 180 198 238 288 306 310 328 378 418 436 496 516 616	-342859846438
TPT(14)	2306642269443357887	0 2 30 32 72 74 84 86 192 194 222 224 294 296	-312918438282
SPT(16)	2306642378254820069	0 2 32 60 98 114 120 140 162 182 188 204 242 270 300 302	-204106976100
STPT(10)	2306642454646803587	0 2 30 32 42 44 54 56 84 86	-127714992582
STPT(10)	2306643578163179501	0 2 36 38 78 80 120 122 156 158	995801383332
SPT(16)	2306643808856928991	0 22 28 88 120 126 190 192 196 198 262 268 300 360 366 388	1226495132822
STPT(10)	2306644118509531637	0 2 12 14 72 74 132 134 144 146	1536147735468
STPT(10)	2306644147594683437	0 2 72 74 102 104 132 134 204 206	1565232887268
SPT(16)	2306644470953433431	0 6 32 38 60 62 72 198 260 386 396 398 420 426 452 458	1888591637262