Prime p₀= 2881034968851958571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 34 2 40 2 28 2 16 2 (?)
a_n: 0 2 48 50 120 122 156 158 198 200 228 230 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=14, 46 70 34 40 28 16

SPT(16)	2881032896110755649	0 4 22 60 72 120 162 204 250 292 334 382 394 432 450 454	-2072741202922
TPT(14)	2881033935489643181	0 2 78 80 96 98 216 218 330 332 360 362 378 380	-1033362315390
TPT(14)	2881034101941569381	0 2 36 38 90 92 96 98 108 110 150 152 168 170	-866910389190
STPT(10)	2881034228452002827	0 2 12 14 42 44 72 74 84 86	-740399955744
SPT(16)	2881034267822395081	0 46 138 178 192 196 220 222 346 348 372 376 390 430 522 568	-701029563490
SPT(16)	2881034622869496209	0 8 20 48 50 78 84 120 272 308 314 342 344 372 384 392	-345982462362
STPT(10)	2881035195302069621	0 2 6 8 48 50 90 92 96 98	226450111050
SPT(16)	2881035522134619797	0 26 50 84 90 122 132 162 224 254 264 296 302 336 360 386	553282661226
SPT(16)	2881035753002118301	0 6 16 18 28 46 58 72 76 90 102 120 130 132 142 148	784150159730
SPT(16)	2881036116446701217	0 110 146 162 170 212 242 266 300 324 354 396 404 420 456 566	1147594742646
SPT(16)	2881036253965567097	0 12 56 96 102 110 114 126 140 152 156 164 170 210 254 266	1285113608526