Prime p₀= 2313656560938441737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 70 2 118 2 16 2 (?)
a_n: 0 2 12 14 42 44 72 74 144 146 264 266 282 284
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: 284
Found by: Landjunge
db: batch=81, k=14, 10 28 28 70 118 16

SPT(16)	2313654921940330121	0 2 48 90 108 152 158 168 170 180 186 230 248 290 336 338	-1638998111616
TPT(14)	2313655048206772547	0 2 12 14 54 56 90 92 180 182 252 254 270 272	-1512731669190
TPT(14)	2313655214695873457	0 2 12 14 54 56 120 122 192 194 300 302 342 344	-1346242568280
SPT(16)	2313655880343707773	0 108 118 136 156 178 180 208 228 256 258 280 300 318 328 436	-680594733964
STPT(10)	2313656282962063811	0 2 30 32 78 80 126 128 156 158	-277976377926
SPT(16)	2313656418716543657	0 32 54 56 86 144 186 194 252 260 302 360 390 392 414 446	-142221898080
STPT(10)	2313656574108426101	0 2 36 38 78 80 120 122 156 158	13169984364
SPT(13)	2313656645087742433	0 36 66 84 96 120 150 180 204 216 234 264 300	84149300696
SPT(16)	2313656743222524943	0 6 34 94 124 136 154 174 196 216 234 246 276 336 364 370	182284083206
SPT(18)	2313657325900921423	0 54 120 124 154 234 244 304 330 334 360 420 430 510 540 544 610 664	764962479686
SPT(16)	2313657532643445619	0 24 28 108 124 138 190 208 210 228 280 294 310 390 394 418	971705003882