Prime p₀= 2309793673216955369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 88 2 28 2 4 2 202 2 (?)
a_n: 0 2 12 14 42 44 132 134 162 164 168 170 372 374
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: 374
Found by: FritzB
db: batch=81, k=14, 10 28 88 28 4 202

STPT(10)	2309791106317261451	0 2 66 68 108 110 150 152 216 218	-2566899693918
SPT(16)	2309791219130102971	0 18 28 72 120 132 156 162 196 202 226 238 286 330 340 358	-2454086852398
STPT(10)	2309791454239666907	0 2 42 44 72 74 102 104 144 146	-2218977288462
TPT(14)	2309791820798013359	0 2 12 14 390 392 420 422 582 584 588 590 630 632	-1852418942010
TPT(14)	2309792493019340267	0 2 30 32 42 44 120 122 222 224 252 254 330 332	-1180197615102
STPT(10)	2309793280693986167	0 2 90 92 150 152 210 212 300 302	-392522969202
SPT(16)	2309793783807433409	0 30 44 68 72 80 110 120 182 192 222 230 234 258 272 302	110590478040
SPT(16)	2309793845205486749	0 42 68 90 182 222 224 230 252 258 260 300 392 414 440 482	171988531380
SPT(16)	2309793892477655273	0 8 56 84 96 98 134 174 230 270 306 308 320 348 396 404	219260699904
SPT(16)	2309794318898100691	0 16 18 52 76 82 118 130 138 150 186 192 216 250 252 268	645681145322
TPT(14)	2309794753126761869	0 2 42 44 90 92 132 134 168 170 192 194 222 224	1079909806500