Prime p₀= 2488847676676917299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 4 2 22 2 58 2 34 2 10 2 (?)
a_n: 0 2 72 74 78 80 102 104 162 164 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 70 4 22 58 34 10

SPT(16)	2488846353129451663	0 34 60 90 148 190 204 220 228 244 258 300 358 388 414 448	-1323547465636
STPT(10)	2488846606665222059	0 2 12 14 90 92 168 170 180 182	-1070011695240
STPT(10)	2488846745364314477	0 2 30 32 102 104 174 176 204 206	-931312602822
SPT(16)	2488846915812587879	0 2 20 68 84 128 182 234 278 330 384 428 444 492 510 512	-760864329420
STPT(10)	2488847117352025481	0 2 6 8 18 20 30 32 36 38	-559324891818
SPT(16)	2488847585465559751	0 12 30 46 96 118 130 132 166 168 180 202 252 268 286 298	-91211357548
SPT(16)	2488847871521631923	0 8 78 84 98 116 128 134 150 156 168 186 200 206 276 284	194844714624
STPT(10)	2488848303431513171	0 2 30 32 78 80 126 128 156 158	626754595872
STPT(12)	2488848574236086057	0 2 30 32 72 74 90 92 132 134 162 164	897559168758
SPT(16)	2488848818447723119	0 10 12 34 82 84 90 94 138 142 148 150 198 220 222 232	1141770805820
SPT(16)	2488849133774546327	0 32 102 134 200 210 212 350 354 492 494 504 570 602 672 704	1457097629028