Prime p₀= 2601685962893214311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 106 2 40 2 10 2 28 2 (?)
a_n: 0 2 48 50 78 80 186 188 228 230 240 242 270 272
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: 272
Found by: Dirk Broer
db: batch=82, k=14, 46 28 106 40 10 28

SPT(16)	2601684287595938497	0 24 42 54 60 144 172 192 214 234 262 346 352 364 382 406	-1675297275814
STPT(10)	2601684298744701551	0 2 78 80 108 110 138 140 216 218	-1664148512760
SPT(16)	2601684661230437687	0 20 24 36 60 62 66 104 372 410 414 416 440 452 456 476	-1301662776624
STPT(10)	2601685048882324967	0 2 42 44 72 74 102 104 144 146	-914010889344
STPT(10)	2601685052712772979	0 2 78 80 120 122 162 164 240 242	-910180441332
SPT(16)	2601685369722585203	0 18 44 50 74 78 80 84 110 114 116 120 144 150 176 194	-593170629108
SPT(16)	2601686035891115177	0 36 72 86 92 114 134 170 186 222 242 264 270 284 320 356	72997900866
SPT(16)	2601686161222598629	0 28 34 40 72 132 154 190 222 258 280 340 372 378 384 412	198329384318
SPT(16)	2601686245901060459	0 14 18 32 42 60 98 102 110 114 152 170 180 194 198 212	283007846148
SPT(16)	2601686283136241767	0 4 30 42 76 102 142 154 162 174 214 240 274 286 312 316	320243027456
SPT(16)	2601686296787778671	0 42 48 146 150 186 206 228 230 252 272 308 312 410 416 458	333894564360