Prime p₀= 2716439782540923077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 10 2 4 2 22 2 16 2 (?)
a_n: 0 2 60 62 72 74 84 86 90 92 114 116 132 134
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: 134
Found by: suriv
db: batch=82, k=14, 58 10 10 4 22 16

STPT(12)	2716438732014019421	0 2 36 38 48 50 78 80 90 92 126 128	-1050526903656
STPT(10)	2716438929485261567	0 2 30 32 72 74 114 116 144 146	-853055661510
STPT(10)	2716439351254215869	0 2 42 44 60 62 78 80 120 122	-431286707208
SPT(16)	2716439474753371739	0 32 84 110 150 162 168 212 360 404 410 422 462 488 540 572	-307787551338
SPT(16)	2716439679979176013	0 10 24 70 90 100 108 114 130 136 144 154 174 220 234 244	-102561747064
SPT(16)	2716439742822410879	0 24 44 54 84 108 158 170 318 330 380 404 434 444 464 488	-39718512198
SPT(16)	2716440098188656187	0 54 64 130 150 154 162 220 306 364 372 376 396 462 472 526	315647733110
SPT(16)	2716440171357955477	0 4 12 22 30 42 54 70 114 130 142 154 162 172 180 184	388817032400
SPT(16)	2716440307771427329	0 120 184 222 228 252 270 274 288 292 310 334 340 378 442 562	525230504252
STPT(10)	2716440505875482987	0 2 12 14 42 44 72 74 84 86	723334559910
SPT(18)	2716440627518444521	0 22 36 52 70 78 120 132 172 216 256 268 310 318 336 352 366 388	844977521444