Prime p₀= 741713056108491149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 76 2 16 2 148 2 (?)
a_n: 0 2 12 14 18 20 102 104 180 182 198 200 348 350
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: 350
Found by: Theadalus
db: batch=73, k=14, 10 4 82 76 16 148

STPT(10)	741711860427501107	0 2 42 44 72 74 102 104 144 146	-1195680990042
STPT(10)	741711896149776161	0 2 36 38 78 80 120 122 156 158	-1159958714988
SPT(16)	741712277522022847	0 6 22 42 52 112 132 160 162 190 210 270 280 300 316 322	-778586468302
TPT(14)	741712467886382537	0 2 30 32 54 56 114 116 180 182 240 242 282 284	-588222108612
SPT(16)	741712509477023453	0 14 48 66 84 158 174 186 458 470 486 560 578 596 630 644	-546631467696
STPT(10)	741712524856463981	0 2 6 8 18 20 30 32 36 38	-531252027168
SPT(16)	741713086290518077	0 4 36 64 112 126 154 184 192 222 250 264 312 340 372 376	30182026928
SPT(16)	741713165067364591	0 6 28 66 72 148 168 178 180 190 210 286 292 330 352 358	108958873442
SPT(16)	741713210810592401	0 20 62 72 86 140 146 176 372 402 408 462 476 486 528 548	154702101252
SPT(16)	741713262331384639	0 10 18 72 84 88 102 114 148 160 174 178 190 244 252 262	206222893490
SPT(16)	741713642598517679	0 2 30 38 44 90 104 132 140 168 182 228 234 242 270 272	586490026530