Prime p₀= 1969651195516973831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 40 2 10 2 34 2 40 2 (?)
a_n: 0 2 30 32 36 38 78 80 90 92 126 128 168 170
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: 170
Found by: Dirk Broer
db: batch=80, k=14, 28 4 40 10 34 40

SPT(16)	1969650065008983347	0 30 42 44 162 170 194 216 260 282 306 314 432 434 446 476	-1130507990484
SPT(16)	1969650074352171779	0 50 54 120 152 168 204 234 278 308 344 360 392 458 462 512	-1121164802052
SPT(16)	1969650078521591867	0 30 42 74 104 144 162 200 216 254 272 312 342 374 386 416	-1116995381964
SPT(16)	1969650402387467489	0 30 54 62 84 114 132 140 144 152 170 200 222 230 254 284	-793129506342
SPT(16)	1969650915489537169	0 22 30 60 112 114 130 154 198 222 238 240 292 322 330 352	-280027436662
SPT(16)	1969651011654965599	0 34 64 154 168 174 204 252 310 358 388 394 408 498 528 562	-183862008232
SPT(16)	1969651358358865123	0 18 48 54 70 88 118 120 178 180 210 228 244 250 280 298	162841891292
STPT(10)	1969651531426060397	0 2 24 26 42 44 60 62 84 86	335909086566
STPT(10)	1969651629499269011	0 2 6 8 18 20 30 32 36 38	433982295180
SPT(16)	1969651647854508743	0 38 48 56 66 90 116 126 170 180 206 230 240 248 258 296	452337534912
STPT(10)	1969651897773270551	0 2 36 38 78 80 120 122 156 158	702256296720