Prime p₀= 2870963506536340601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 100 2 76 2 88 2 70 2 46 2 (?)
a_n: 0 2 66 68 168 170 246 248 336 338 408 410 456 458
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: 458
Found by: Odd-Rod
db: batch=82, k=14, 64 100 76 88 70 46

SPT(16)	2870962519095117017	0 6 30 42 44 132 152 182 294 324 344 432 434 446 470 476	-987441223584
TPT(14)	2870962525382203541	0 2 48 50 78 80 90 92 300 302 456 458 498 500	-981154137060
STPT(12)	2870962850213463491	0 2 48 50 90 92 168 170 210 212 258 260	-656322877110
SPT(16)	2870962888333459267	0 24 36 46 66 90 112 126 130 144 166 190 210 220 232 256	-618202881334
STPT(10)	2870963342188945109	0 2 30 32 120 122 210 212 240 242	-164347395492
TPT(14)	2870963423292394049	0 2 12 14 90 92 102 104 138 140 222 224 270 272	-83243946552
SPT(16)	2870963695533862021	0 22 118 132 136 150 186 220 228 262 298 312 316 330 426 448	188997521420
STPT(10)	2870964395517045827	0 2 24 26 42 44 60 62 84 86	888980705226
SPT(16)	2870964981068067139	0 34 78 90 102 120 144 174 268 298 322 340 352 364 408 442	1474531726538
STPT(10)	2870965377455114711	0 2 36 38 78 80 120 122 156 158	1870918774110
STPT(10)	2870965717648750847	0 2 30 32 72 74 114 116 144 146	2211112410246