Prime p₀= 1597323984229171631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 28 2 40 2 94 2 58 2 22 2 (?)
a_n: 0 2 168 170 198 200 240 242 336 338 396 398 420 422
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: 422
Found by: biodoc
db: batch=78, k=14, 166 28 40 94 58 22

SPT(18)	1597323515215907099	0 8 12 14 24 32 90 92 102 140 150 152 210 218 228 230 234 242	-469013264532
STPT(10)	1597323546734370779	0 2 42 44 60 62 78 80 120 122	-437494800852
TPT(14)	1597323653272956797	0 2 102 104 222 224 234 236 282 284 312 314 390 392	-330956214834
SPT(16)	1597323845731272563	0 48 78 104 126 158 170 186 188 204 216 248 270 296 326 374	-138497899068
SPT(16)	1597323851966394661	0 30 42 46 72 96 102 156 226 280 286 310 336 340 352 382	-132262776970
SPT(16)	1597323892547216591	0 8 36 42 62 80 108 116 132 140 168 186 206 212 240 248	-91681955040
STPT(10)	1597323999700442771	0 2 6 8 18 20 30 32 36 38	15471271140
SPT(16)	1597324313137568641	0 10 42 66 82 106 160 162 250 252 306 330 346 370 402 412	328908397010
SPT(16)	1597324586828708897	0 14 20 26 54 84 90 134 186 230 236 266 294 300 306 320	602599537266
SPT(16)	1597324761864438547	0 10 52 54 64 70 100 114 160 174 204 210 220 222 264 274	777635266916
TPT(14)	1597324884121437347	0 2 30 32 114 116 162 164 240 242 294 296 324 326	899892265716