Prime p₀= 1588380819306975299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 106 2 58 2 118 2 76 2 (?)
a_n: 0 2 90 92 102 104 210 212 270 272 390 392 468 470
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: 470
Found by: emoga
db: batch=78, k=14, 88 10 106 58 118 76

SPT(16)	1588379971605803119	0 30 34 42 84 90 100 118 144 162 172 178 220 228 232 262	-847701172180
TPT(14)	1588380098857505879	0 2 72 74 120 122 132 134 228 230 300 302 312 314	-720449469420
STPT(10)	1588380424581163391	0 2 6 8 48 50 90 92 96 98	-394725811908
SPT(16)	1588380438504264809	0 42 54 62 84 104 132 134 150 152 180 200 222 230 242 284	-380802710490
STPT(10)	1588380684648819959	0 2 42 44 60 62 78 80 120 122	-134658155340
STPT(10)	1588380755567615897	0 2 60 62 252 254 444 446 504 506	-63739359402
STPT(10)	1588380858844947647	0 2 30 32 42 44 54 56 84 86	39537972348
STPT(10)	1588381387135886267	0 2 12 14 42 44 72 74 84 86	567828910968
SPT(16)	1588381661377181609	0 44 78 108 110 134 158 164 198 204 228 252 254 284 318 362	842070206310
SPT(16)	1588381722749618677	0 4 24 60 96 184 280 310 336 366 462 550 586 622 642 646	903442643378
SPT(16)	1588381829476698041	0 66 78 120 128 140 158 198 218 258 276 288 296 338 350 416	1010169722742