Prime p₀= 2863027869559997591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 118 2 16 2 22 2 88 2 34 2 (?)
a_n: 0 2 18 20 138 140 156 158 180 182 270 272 306 308
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: 308
Found by: Landjunge
db: batch=82, k=14, 16 118 16 22 88 34

STPT(10)	2863026517388657531	0 2 6 8 18 20 30 32 36 38	-1352171340060
SPT(16)	2863026585724829977	0 12 66 180 186 222 270 300 432 462 510 546 552 666 720 732	-1283835167614
STPT(10)	2863027003712547281	0 2 30 32 78 80 126 128 156 158	-865847450310
SPT(18)	2863027404485488169	0 12 48 62 164 210 222 230 270 272 312 320 332 378 480 494 530 542	-465074509422
SPT(16)	2863027620202246543	0 36 76 168 184 186 208 216 238 246 268 270 286 378 418 454	-249357751048
STPT(10)	2863027846005865157	0 2 42 44 72 74 102 104 144 146	-23554132434
SPT(16)	2863027993853850089	0 42 50 78 98 108 150 152 168 170 212 222 242 270 278 320	124293852498
SPT(16)	2863028495420210987	0 2 24 30 60 72 84 90 116 122 134 146 176 182 204 206	625860213396
SPT(16)	2863029464484236357	0 6 14 30 32 50 56 62 114 120 126 144 146 162 170 176	1594924238766
SPT(18)	2863029740392349447	0 14 24 54 62 90 126 156 182 204 230 260 296 324 332 362 372 386	1870832351856
SPT(16)	2863030010929646251	0 28 30 66 70 96 166 168 280 282 352 378 382 418 420 448	2141369648660