Prime p₀= 2074947588436868021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 58 2 64 2 10 2 70 2 (?)
a_n: 0 2 6 8 60 62 120 122 186 188 198 200 270 272
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: 272
Found by: JohnMD
db: batch=80, k=14, 4 52 58 64 10 70

STPT(10)	2074946205570942461	0 2 6 8 18 20 30 32 36 38	-1382865925560
SPT(16)	2074946229425055443	0 8 14 36 74 108 146 150 224 228 266 300 338 360 366 374	-1359011812578
SPT(16)	2074946514789835829	0 2 32 38 42 120 132 162 338 368 380 458 462 468 498 500	-1073647032192
SPT(16)	2074947163020487339	0 34 42 48 78 132 174 192 250 268 310 364 394 400 408 442	-425416380682
STPT(10)	2074947314161446467	0 2 30 32 42 44 54 56 84 86	-274275421554
STPT(10)	2074947377181444551	0 2 30 32 60 62 90 92 120 122	-211255423470
STPT(10)	2074947593037435671	0 2 36 38 78 80 120 122 156 158	4600567650
SPT(16)	2074947593644863709	0 10 48 52 72 118 120 142 210 232 234 280 300 304 342 352	5207995688
STPT(10)	2074947954745749287	0 2 12 14 42 44 72 74 84 86	366308881266
TPT(14)	2074947974913823901	0 2 36 38 78 80 90 92 108 110 138 140 168 170	386476955880
STPT(12)	2074948018863925367	0 2 42 44 84 86 120 122 162 164 204 206	430427057346