Prime p₀= 2478522145729868699 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 46 2 58 2 22 2 (?)
a_n: 0 2 30 32 42 44 60 62 108 110 168 170 192 194
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: 194
Found by: raddoc
db: batch=82, k=14, 28 10 16 46 58 22

SPT(16)	2478520279384893421	0 6 12 42 96 118 142 192 226 276 300 322 376 406 412 418	-1866344975278
TPT(14)	2478520940209992311	0 2 18 20 30 32 96 98 168 170 216 218 270 272	-1205519876388
SPT(16)	2478521257594682039	0 32 60 68 90 132 138 182 318 362 368 410 432 440 468 500	-888135186660
STPT(10)	2478521836766682347	0 2 90 92 132 134 174 176 264 266	-308963186352
STPT(10)	2478521846521130951	0 2 30 32 78 80 126 128 156 158	-299208737748
SPT(16)	2478522030840335527	0 22 54 60 64 84 102 106 150 154 172 192 196 202 234 256	-114889533172
STPT(10)	2478522327681321149	0 2 48 50 90 92 132 134 180 182	181951452450
SPT(16)	2478522762098759461	0 12 60 88 108 142 186 196 222 232 276 310 330 358 406 418	616368890762
SPT(16)	2478522859911460627	0 4 6 72 130 132 156 210 226 280 304 306 364 430 432 436	714181591928
SPT(16)	2478523246060609883	0 14 84 104 116 144 150 200 234 284 290 318 330 350 420 434	1100330741184
STPT(10)	2478523502603499179	0 2 48 50 90 92 132 134 180 182	1356873630480