Prime p₀= 2313655214695873457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 64 2 70 2 106 2 40 2 (?)
a_n: 0 2 12 14 54 56 120 122 192 194 300 302 342 344
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: 344
Found by: Landjunge
db: batch=81, k=14, 10 40 64 70 106 40

STPT(10)	2313654173305406177	0 2 30 32 120 122 210 212 240 242	-1041390467280
STPT(10)	2313654215420393117	0 2 24 26 42 44 60 62 84 86	-999275480340
SPT(16)	2313654658684493101	0 48 66 90 102 136 220 246 262 288 372 406 418 442 460 508	-556011380356
SPT(16)	2313654698391574633	0 6 34 36 54 78 96 120 124 148 166 190 208 210 238 244	-516304298824
SPT(16)	2313654921940330121	0 2 48 90 108 152 158 168 170 180 186 230 248 290 336 338	-292755543336
TPT(14)	2313655048206772547	0 2 12 14 54 56 90 92 180 182 252 254 270 272	-166489100910
SPT(16)	2313655880343707773	0 108 118 136 156 178 180 208 228 256 258 280 300 318 328 436	665647834316
STPT(10)	2313656282962063811	0 2 30 32 78 80 126 128 156 158	1068266190354
SPT(16)	2313656418716543657	0 32 54 56 86 144 186 194 252 260 302 360 390 392 414 446	1204020670200
TPT(14)	2313656560938441737	0 2 12 14 42 44 72 74 144 146 264 266 282 284	1346242568280
STPT(10)	2313656574108426101	0 2 36 38 78 80 120 122 156 158	1359412552644