Prime p₀= 2431846308250638581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 40 2 28 2 34 2 10 2 (?)
a_n: 0 2 66 68 168 170 210 212 240 242 276 278 288 290
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: 290
Found by: JayPi
db: batch=82, k=14, 64 100 40 28 34 10

STPT(10)	2431844319809859011	0 2 36 38 78 80 120 122 156 158	-1988440779570
SPT(16)	2431844802323296457	0 6 26 42 60 62 66 186 356 476 480 482 500 516 536 542	-1505927342124
STPT(10)	2431845123594113837	0 2 30 32 42 44 54 56 84 86	-1184656524744
STPT(10)	2431845457681574021	0 2 6 8 48 50 90 92 96 98	-850569064560
SPT(16)	2431845590312898247	0 4 10 12 76 82 90 124 132 166 174 180 244 246 252 256	-717937740334
STPT(10)	2431845788273653187	0 2 42 44 72 74 102 104 144 146	-519976985394
STPT(10)	2431846499444788817	0 2 30 32 42 44 54 56 84 86	191194150236
SPT(16)	2431846561372203881	0 12 68 78 80 86 92 96 152 156 162 168 170 180 236 248	253121565300
STPT(10)	2431846601664049049	0 2 18 20 30 32 42 44 60 62	293413410468
STPT(10)	2431846794778911281	0 2 30 32 78 80 126 128 156 158	486528272700
SPT(16)	2431846907240164669	0 10 22 24 40 72 78 114 118 154 160 192 208 210 222 232	598989526088