Prime p₀= 2743608071344264301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 34 2 28 2 130 2 10 2 (?)
a_n: 0 2 60 62 90 92 126 128 156 158 288 290 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 58 28 34 28 130 10

SPT(16)	2743606537160825023	0 28 70 114 120 154 168 184 240 256 270 304 310 354 396 424	-1534183439278
STPT(12)	2743606611503597249	0 2 12 14 60 62 252 254 300 302 312 314	-1459840667052
SPT(16)	2743606704270991903	0 10 60 70 94 126 130 148 186 204 208 240 264 274 324 334	-1367073272398
SPT(16)	2743606787529686261	0 8 60 66 72 96 102 138 140 176 182 206 212 218 270 278	-1283814578040
TPT(14)	2743607767208773667	0 2 222 224 270 272 402 404 432 434 444 446 450 452	-304135490634
SPT(16)	2743607881567740139	0 10 108 112 142 148 162 190 192 220 234 240 270 274 372 382	-189776524162
SPT(16)	2743608504054594419	0 8 42 48 102 152 158 174 278 294 300 350 404 410 444 452	432710330118
STPT(10)	2743608607698036119	0 2 18 20 30 32 42 44 60 62	536353771818
STPT(10)	2743608677290787351	0 2 90 92 108 110 126 128 216 218	605946523050
STPT(10)	2743608743548745621	0 2 6 8 48 50 90 92 96 98	672204481320
SPT(16)	2743609391869670743	0 4 30 84 118 126 156 160 234 238 268 276 310 364 390 394	1320525406442