Prime p₀= 2333411848957087439 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 10 2 28 2 10 2 58 2 (?)
a_n: 0 2 30 32 48 50 60 62 90 92 102 104 162 164
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: 164
Found by: herby44
db: batch=81, k=14, 28 16 10 28 10 58

SPT(16)	2333410089405132841	0 6 10 48 52 96 108 136 162 190 202 246 250 288 292 298	-1759551954598
STPT(10)	2333410251718782359	0 2 12 14 30 32 48 50 60 62	-1597238305080
SPT(16)	2333410262615482109	0 24 38 68 104 120 140 168 230 258 278 294 330 360 374 398	-1586341605330
SPT(16)	2333410552619003731	0 16 42 48 60 76 102 130 168 196 222 238 250 256 282 298	-1296338083708
SPT(16)	2333410898456354221	0 10 36 46 66 96 112 120 172 180 196 226 246 256 282 292	-950500733218
STPT(10)	2333411819959088327	0 2 30 32 42 44 54 56 84 86	-28997999112
SPT(16)	2333412086802265849	0 4 22 42 78 132 144 162 310 328 340 394 430 450 468 472	237845178410
SPT(16)	2333412544231711399	0 28 30 88 112 120 174 202 270 298 352 360 384 442 444 472	695274623960
SPT(16)	2333412635046103859	0 2 30 54 68 72 114 150 212 248 290 294 308 332 360 362	786089016420
STPT(10)	2333412642610907909	0 2 18 20 30 32 42 44 60 62	793653820470
SPT(16)	2333412642650540827	0 24 36 52 82 106 112 150 166 204 210 234 264 280 292 316	793693453388