Prime p₀= 1599283335583499309 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 64 2 28 2 82 2 (?)
a_n: 0 2 30 32 72 74 102 104 168 170 198 200 282 284
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: 284
Found by: WyerByter
db: batch=78, k=14, 28 40 28 64 28 82

SPT(16)	1599282333220897999	0 42 48 84 88 90 144 154 168 178 232 234 238 274 280 322	-1002362601310
SPT(16)	1599282496759610483	0 6 38 78 80 98 140 176 288 324 366 384 386 426 458 464	-838823888826
SPT(16)	1599282538233950569	0 60 72 94 114 138 172 208 324 360 394 418 438 460 472 532	-797349548740
SPT(16)	1599282718035329917	0 46 90 130 144 186 226 252 274 300 340 382 396 436 480 526	-617548169392
SPT(16)	1599283007549709107	0 6 44 62 72 114 120 126 140 146 152 194 204 222 260 266	-328033790202
STPT(10)	1599283157618097701	0 2 36 38 78 80 120 122 156 158	-177965401608
STPT(10)	1599283592534995667	0 2 24 26 42 44 60 62 84 86	256951496358
STPT(10)	1599283771392782141	0 2 6 8 18 20 30 32 36 38	435809282832
STPT(10)	1599283925957467109	0 2 42 44 90 92 138 140 180 182	590373967800
STPT(10)	1599284089902321047	0 2 30 32 42 44 54 56 84 86	754318821738
SPT(16)	1599284194043723347	0 24 76 84 90 102 112 136 150 174 184 196 202 210 262 286	858460224038