Prime p₀= 2549386639983965687 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 148 2 124 2 58 2 22 2 (?)
a_n: 0 2 12 14 24 26 174 176 300 302 360 362 384 386
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: 386
Found by: JayPi
db: batch=82, k=14, 10 10 148 124 58 22

SPT(16)	2549385468263039911	0 18 30 58 72 82 120 162 316 358 396 406 420 448 460 478	-1171720925776
STPT(10)	2549385603046638437	0 2 42 44 72 74 102 104 144 146	-1036937327250
TPT(14)	2549385647087663159	0 2 12 14 18 20 138 140 222 224 228 230 360 362	-992896302528
SPT(16)	2549385789484896347	0 6 14 56 60 74 84 90 110 116 126 140 144 186 194 200	-850499069340
STPT(10)	2549386185662917631	0 2 30 32 60 62 90 92 120 122	-454321048056
STPT(10)	2549386236105017117	0 2 54 56 72 74 90 92 144 146	-403878948570
STPT(10)	2549386758524445899	0 2 12 14 90 92 168 170 180 182	118540480212
TPT(14)	2549387188361304479	0 2 42 44 60 62 102 104 192 194 312 314 348 350	548377338792
SPT(16)	2549387274965577149	0 8 78 120 132 134 158 288 374 504 528 530 542 584 654 662	634981611462
TPT(14)	2549387401689057791	0 2 36 38 108 110 138 140 246 248 336 338 408 410	761705092104
SPT(16)	2549387688152495093	0 30 36 38 50 98 128 156 170 198 228 276 288 290 296 326	1048168529406