Prime p₀= 9926680353958889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 46 2 28 2 106 2 22 2 (?)
a_n: 0 2 120 122 132 134 180 182 210 212 318 320 342 344
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: 344
Found by: [SG-2W]Kurzer
db: batch=62, k=14, 118 10 46 28 106 22

SPT(14)	9926650534281913	0 28 46 60 66 76 84 280 288 298 304 318 336 364	-29819676976
SPT(14)	9926651630278091	0 20 86 132 146 170 176 252 258 282 296 342 408 428	-28723680798
TPT(12)	9926666711434901	0 2 198 200 336 338 366 368 390 392 486 488	-13642523988
SPT(14)	9926672246091701	0 2 20 42 62 78 102 116 140 156 176 198 216 218	-8107867188
TPT(12)	9926673799963979	0 2 42 44 78 80 90 92 102 104 120 122	-6553994910
SPT(14)	9926677715434631	0 30 32 42 62 90 98 120 128 156 176 186 188 218	-2638524258
SPT(14)	9926682584251967	0 2 14 20 24 32 44 120 132 140 144 150 162 164	2230293078
SPT(14)	9926690186144659	0 12 48 70 100 148 154 168 174 222 252 274 310 322	9832185770
SPT(14)	9926706005069101	0 28 42 48 72 106 118 120 132 166 190 196 210 238	25651110212
STPT(10)	9926709495962261	0 2 30 32 60 62 90 92 120 122	29142003372
TPT(12)	9926712811382621	0 2 36 38 48 50 60 62 78 80 90 92	32457423732