Prime p₀= 2617337328984283391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 40 2 88 2 16 2 (?)
a_n: 0 2 66 68 96 98 126 128 168 170 258 260 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 64 28 28 40 88 16

STPT(10)	2617335559844943527	0 2 42 44 72 74 102 104 144 146	-1769139339864
SPT(16)	2617335780041535703	0 34 120 124 138 168 184 208 276 300 316 346 360 364 450 484	-1548942747688
SPT(16)	2617335833172999347	0 24 36 44 54 80 104 114 146 156 180 206 216 224 236 260	-1495811284044
STPT(10)	2617335835214839769	0 2 18 20 30 32 42 44 60 62	-1493769443622
SPT(16)	2617337091947754607	0 16 72 114 144 166 186 210 226 250 270 292 322 364 420 436	-237036528784
STPT(10)	2617337299640579051	0 2 6 8 48 50 90 92 96 98	-29343704340
TPT(14)	2617337438933357111	0 2 168 170 186 188 210 212 228 230 240 242 336 338	109949073720
SPT(16)	2617337593921754017	0 40 72 94 144 150 172 186 220 234 256 262 312 334 366 406	264937470626
SPT(16)	2617338028707757549	0 18 24 42 60 102 108 112 120 124 130 172 190 208 214 232	699723474158
SPT(16)	2617338640605879503	0 24 54 66 68 78 108 120 224 236 266 276 278 290 320 344	1311621596112
STPT(10)	2617338663058391939	0 2 18 20 30 32 42 44 60 62	1334074108548