Prime p₀= 2461469910892713689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 4 2 82 2 4 2 28 2 (?)
a_n: 0 2 12 14 42 44 48 50 132 134 138 140 168 170
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: 170
Found by: JayPi
db: batch=82, k=14, 10 28 4 82 4 28

SPT(16)	2461469033656516307	0 2 50 62 86 92 116 120 152 156 180 186 210 222 270 272	-877236197382
STPT(10)	2461469051027650619	0 2 42 44 90 92 138 140 180 182	-859865063070
STPT(10)	2461469063784595517	0 2 42 44 72 74 102 104 144 146	-847108118172
SPT(16)	2461469122362105887	0 6 26 36 66 110 114 120 140 146 150 194 224 234 254 260	-788530607802
STPT(10)	2461469135259517049	0 2 42 44 60 62 78 80 120 122	-775633196640
SPT(16)	2461469243072102399	0 8 12 14 68 122 134 138 164 168 180 234 288 290 294 302	-667820611290
STPT(12)	2461469910892713701	0 2 30 32 36 38 120 122 126 128 156 158	12
SPT(16)	2461470047194085909	0 2 14 20 42 78 128 144 158 174 224 260 282 288 300 302	136301372220
STPT(10)	2461470276368976911	0 2 96 98 108 110 120 122 216 218	365476263222
SPT(16)	2461470451925535481	0 22 40 106 118 120 132 168 250 286 298 300 312 378 396 418	541032821792
SPT(16)	2461471201619528717	0 90 120 132 150 204 222 264 332 374 392 446 464 476 506 596	1290726815028