Prime p₀= 2892389758744103339 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 88 2 112 2 88 2 16 2 (?)
a_n: 0 2 42 44 78 80 168 170 282 284 372 374 390 392
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: 392
Found by: Landjunge
db: batch=82, k=14, 40 34 88 112 88 16

SPT(16)	2892388502386054319	0 18 20 30 42 72 104 114 128 138 170 200 212 222 224 242	-1256358049020
STPT(10)	2892388859064941417	0 2 30 32 42 44 54 56 84 86	-899679161922
STPT(10)	2892388940363419499	0 2 30 32 60 62 90 92 120 122	-818380683840
STPT(10)	2892388952474629607	0 2 24 26 42 44 60 62 84 86	-806269473732
SPT(16)	2892389089104982501	0 12 30 46 48 58 100 132 136 168 210 220 222 238 256 268	-669639120838
SPT(16)	2892389468315101787	0 42 90 116 126 140 152 170 186 204 216 230 240 266 314 356	-290429001552
SPT(13)	2892390028216984879	0 12 30 42 48 72 90 108 132 138 150 168 180	269472881540
STPT(10)	2892390290700198317	0 2 30 32 42 44 54 56 84 86	531956094978
STPT(10)	2892391313542472837	0 2 30 32 42 44 54 56 84 86	1554798369498
STPT(10)	2892391598855489567	0 2 42 44 72 74 102 104 144 146	1840111386228
STPT(10)	2892392757974634791	0 2 30 32 60 62 90 92 120 122	2999230531452