Prime p₀= 2909259007765056239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 40 2 88 2 124 2 22 2 (?)
a_n: 0 2 12 14 150 152 192 194 282 284 408 410 432 434
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: 434
Found by: Landjunge
db: batch=82, k=14, 10 136 40 88 124 22

STPT(10)	2909258180876692217	0 2 24 26 42 44 60 62 84 86	-826888364022
SPT(16)	2909258258255530229	0 20 32 54 74 102 110 132 200 222 230 258 278 300 312 332	-749509526010
STPT(10)	2909258304072942707	0 2 54 56 72 74 90 92 144 146	-703692113532
STPT(10)	2909258684865723779	0 2 78 80 120 122 162 164 240 242	-322899332460
TPT(14)	2909258684865723779	0 2 78 80 120 122 162 164 240 242 330 332 408 410	-322899332460
STPT(10)	2909258902312545227	0 2 30 32 42 44 54 56 84 86	-105452511012
SPT(16)	2909259475953145429	0 22 34 52 70 102 108 114 148 154 160 192 210 228 240 262	468188089190
STPT(10)	2909259571791063851	0 2 6 8 48 50 90 92 96 98	564026007612
SPT(16)	2909259912849246559	0 10 22 30 58 64 72 78 94 100 108 114 142 150 162 172	905084190320
SPT(16)	2909259925275192479	0 2 68 72 152 168 170 224 258 312 314 330 410 414 480 482	917510136240
SPT(16)	2909260178491054823	0 8 36 54 66 78 110 180 194 264 296 308 320 338 366 374	1170725998584