Prime p₀= 739133343990703349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 130 2 28 2 34 2 10 2 58 2 70 2 (?)
a_n: 0 2 132 134 162 164 198 200 210 212 270 272 342 344
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: RFGuy_KCCO
db: batch=73, k=14, 130 28 34 10 58 70

SPT(16)	739131678316283729	0 8 32 78 110 120 122 170 192 240 242 252 284 330 354 362	-1665674419620
SPT(16)	739131792348576071	0 20 42 60 68 78 102 110 120 128 152 162 170 188 210 230	-1551642127278
STPT(10)	739131806153826497	0 2 24 26 42 44 60 62 84 86	-1537836876852
TPT(14)	739132262890388831	0 2 6 8 36 38 78 80 90 92 120 122 126 128	-1081100314518
SPT(16)	739132387710190883	0 44 68 90 114 198 236 276 278 318 356 440 464 486 510 554	-956280512466
SPT(16)	739133208387791353	0 6 48 76 78 96 100 126 148 174 178 196 198 226 268 274	-135602911996
TPT(14)	739133430248538887	0 2 42 44 102 104 144 146 204 206 210 212 240 242	86257835538
SPT(16)	739134026228351683	0 28 30 70 108 130 138 168 196 226 234 256 294 334 336 364	682237648334
TPT(14)	739134174229000127	0 2 30 32 84 86 132 134 144 146 222 224 240 242	830238296778
SPT(16)	739134218805472121	0 30 60 62 140 168 170 192 266 288 290 318 396 398 428 458	874814768772
SPT(16)	739134226184113723	0 6 36 66 78 88 108 126 130 148 168 178 190 220 250 256	882193410374