Prime p₀= 2126320866967130891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 28 2 28 2 28 2 52 2 (?)
a_n: 0 2 36 38 66 68 96 98 126 128 156 158 210 212
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: 212
Found by: CoolAtchOk
db: batch=80, k=14, 34 28 28 28 28 52

SPT(16)	2126319514782379919	0 14 78 80 132 140 144 200 342 398 402 410 462 464 528 542	-1352184750972
SPT(16)	2126319970496753347	0 4 16 24 40 52 60 84 112 136 144 156 172 180 192 196	-896470377544
SPT(16)	2126320140877828457	0 56 84 90 146 200 216 234 242 260 276 330 386 392 420 476	-726089302434
SPT(16)	2126320236379201979	0 2 12 48 68 90 98 114 158 174 182 204 224 260 270 272	-630587928912
SPT(16)	2126320439368591997	0 26 42 102 104 110 144 146 150 152 186 192 194 254 270 296	-427598538894
STPT(10)	2126320792768400489	0 2 18 20 30 32 42 44 60 62	-74198730402
STPT(10)	2126320866967130927	0 2 30 32 60 62 90 92 120 122	36
SPT(16)	2126321113187953849	0 18 24 48 82 154 160 202 270 312 318 390 424 448 454 472	246220822958
SPT(16)	2126321249317790197	0 82 100 166 190 210 256 322 324 390 436 456 480 546 564 646	382350659306
STPT(10)	2126321344951353887	0 2 30 32 42 44 54 56 84 86	477984222996
STPT(10)	2126321692524177737	0 2 30 32 42 44 54 56 84 86	825557046846