Prime p₀= 2909988721561167539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 106 2 22 2 4 2 10 2 (?)
a_n: 0 2 42 44 60 62 168 170 192 194 198 200 210 212
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: 212
Found by: Landjunge
db: batch=82, k=14, 40 16 106 22 4 10

STPT(10)	2909987430046036187	0 2 12 14 42 44 72 74 84 86	-1291515131352
STPT(10)	2909987480776049447	0 2 42 44 72 74 102 104 144 146	-1240785118092
STPT(10)	2909987635964551691	0 2 6 8 48 50 90 92 96 98	-1085596615848
TPT(14)	2909987980694997899	0 2 30 32 72 74 132 134 138 140 168 170 222 224	-740866169640
SPT(16)	2909988081729530611	0 60 78 82 88 102 112 118 132 138 148 162 168 172 190 250	-639831636928
SPT(16)	2909988578687916107	0 42 50 90 104 116 162 176 180 194 240 252 266 306 314 356	-142873251432
SPT(16)	2909988829157409491	0 8 42 48 92 98 182 198 230 246 330 336 380 386 420 428	107596241952
STPT(10)	2909989150802833007	0 2 30 32 42 44 54 56 84 86	429241665468
STPT(10)	2909989339716936689	0 2 42 44 60 62 78 80 120 122	618155769150
STPT(10)	2909989513594033061	0 2 36 38 78 80 120 122 156 158	792032865522
STPT(10)	2909989538500804427	0 2 120 122 192 194 264 266 384 386	816939636888