Prime p₀= 2549459369049557141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 166 2 10 2 106 2 28 2 (?)
a_n: 0 2 60 62 78 80 246 248 258 260 366 368 396 398
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: 398
Found by: [SG-FC] hl
db: batch=82, k=14, 58 16 166 10 106 28

SPT(16)	2549455974280470889	0 22 58 60 64 82 100 142 210 252 270 288 292 294 330 352	-3394769086252
SPT(16)	2549457569080975741	0 30 90 126 130 132 180 226 282 328 376 378 382 418 478 508	-1799968581400
SPT(16)	2549457891498045043	0 54 64 66 96 168 174 204 250 280 286 358 388 390 400 454	-1477551512098
STPT(10)	2549458204914522617	0 2 42 44 72 74 102 104 144 146	-1164135034524
SPT(16)	2549459084552134493	0 6 18 48 104 110 126 134 270 278 294 300 356 386 398 404	-284497422648
SPT(16)	2549459292047284399	0 34 54 58 60 100 132 168 184 220 252 292 294 298 318 352	-77002272742
STPT(10)	2549459554497668357	0 2 30 32 42 44 54 56 84 86	185448111216
SPT(16)	2549459637347293261	0 100 136 220 232 286 328 372 406 450 492 546 558 642 678 778	268297736120
STPT(10)	2549459791638877487	0 2 30 32 42 44 54 56 84 86	422589320346
SPT(16)	2549460138563128313	0 14 20 108 120 134 146 150 164 168 180 194 206 294 300 314	769513571172
STPT(10)	2549460177033878651	0 2 6 8 48 50 90 92 96 98	807984321510