Prime p₀= 2316495824636053547 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 130 2 58 2 16 2 10 2 (?)
a_n: 0 2 60 62 90 92 222 224 282 284 300 302 312 314
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: 314
Found by: Landjunge
db: batch=81, k=14, 58 28 130 58 16 10

STPT(10)	2316494693496062879	0 2 48 50 60 62 72 74 120 122	-1131139990668
SPT(16)	2316495005144558351	0 60 78 80 98 110 150 152 168 170 210 222 240 242 260 320	-819491495196
STPT(10)	2316495372264052979	0 2 18 20 30 32 42 44 60 62	-452372000568
STPT(10)	2316495384312155729	0 2 42 44 90 92 138 140 180 182	-440323897818
SPT(16)	2316495503743017593	0 6 36 66 84 138 140 150 164 174 176 230 248 278 308 314	-320893035954
STPT(10)	2316495566421407981	0 2 30 32 78 80 126 128 156 158	-258214645566
SPT(16)	2316495914028162899	0 32 42 50 74 92 120 152 162 194 222 240 264 272 282 314	89392109352
SPT(16)	2316496151926129181	0 66 72 126 150 162 182 218 240 276 296 308 332 386 392 458	327290075634
TPT(14)	2316496160929276871	0 2 108 110 150 152 186 188 210 212 306 308 336 338	336293223324
SPT(16)	2316496525814782231	0 42 60 126 142 162 180 196 216 232 250 270 286 352 370 412	701178728684
SPT(16)	2316496647861451243	0 6 88 100 156 160 196 216 238 258 294 298 354 366 448 454	823225397696