Prime p₀= 2325000364820404967 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 34 2 88 2 10 2 (?)
a_n: 0 2 12 14 42 44 54 56 90 92 180 182 192 194
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: 194
Found by: Landjunge
db: batch=81, k=14, 10 28 10 34 88 10

SPT(16)	2324998630912483681	0 36 46 70 108 138 178 198 220 240 280 310 348 372 382 418	-1733907921286
SPT(16)	2324998746909180047	0 6 32 44 54 96 140 146 150 156 200 242 252 264 290 296	-1617911224920
STPT(10)	2324998872662389631	0 2 36 38 78 80 120 122 156 158	-1492158015336
SPT(16)	2324999011674590681	0 8 30 36 42 48 62 66 152 156 170 176 182 188 210 218	-1353145814286
SPT(16)	2324999513785831447	0 6 12 24 76 82 102 120 136 154 174 180 232 244 250 256	-851034573520
STPT(10)	2324999874206357597	0 2 12 14 72 74 132 134 144 146	-490614047370
STPT(10)	2325000562736151299	0 2 18 20 30 32 42 44 60 62	197915746332
TPT(14)	2325001184854281599	0 2 12 14 72 74 198 200 240 242 288 290 318 320	820033876632
SPT(16)	2325001361045436023	0 14 26 48 108 114 170 188 216 234 290 296 356 378 390 404	996225031056
TPT(14)	2325001611008262959	0 2 48 50 78 80 180 182 192 194 210 212 258 260	1246187857992
SPT(16)	2325001709983993211	0 48 56 62 72 92 120 140 198 218 246 266 276 282 290 338	1345163588244