Prime p₀= 2451598101943970591 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 28 2 16 2 22 2 64 2 (?)
a_n: 0 2 66 68 78 80 108 110 126 128 150 152 216 218
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: 218
Found by: JayPi
db: batch=82, k=14, 64 10 28 16 22 64

STPT(10)	2451596988013876889	0 2 18 20 30 32 42 44 60 62	-1113930093702
SPT(16)	2451597062121502811	0 8 20 32 36 98 120 138 140 158 180 242 246 258 270 278	-1039822467780
STPT(10)	2451597736259736011	0 2 96 98 138 140 180 182 276 278	-365684234580
SPT(16)	2451597879949770947	0 6 26 50 80 92 110 120 152 162 180 192 222 246 266 272	-221994199644
SPT(18)	2451597952052550703	0 24 78 100 114 124 136 166 190 294 318 348 360 370 384 406 460 484	-149891419888
SPT(16)	2451598060199084801	0 30 32 96 102 132 146 176 222 252 266 296 302 366 368 398	-41744885790
SPT(16)	2451598104384798511	0 6 10 22 36 48 58 76 102 120 130 142 156 168 172 178	2440827920
SPT(16)	2451598138998131329	0 10 34 52 72 82 84 114 118 148 150 160 180 198 222 232	37054160738
STPT(10)	2451598653569000237	0 2 30 32 42 44 54 56 84 86	551625029646
STPT(10)	2451598677067844597	0 2 42 44 72 74 102 104 144 146	575123874006
SPT(16)	2451598711750645159	0 10 24 40 42 70 82 114 190 222 234 262 264 280 294 304	609806674568