Prime p₀= 2189464067473576457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 52 2 34 2 208 2 70 2 (?)
a_n: 0 2 12 14 90 92 144 146 180 182 390 392 462 464
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: 464
Found by: [SG-FC] hl
db: batch=81, k=14, 10 76 52 34 208 70

TPT(16)	2189463196347937337	0 2 84 86 90 92 174 176 282 284 312 314 330 332 462 464	-871125639120
SPT(16)	2189463242770321163	0 6 8 38 48 50 66 74 90 98 114 116 126 156 158 164	-824703255294
STPT(10)	2189463396339962957	0 2 30 32 42 44 54 56 84 86	-671133613500
STPT(10)	2189463812856709271	0 2 36 38 78 80 120 122 156 158	-254616867186
SPT(16)	2189463925065890479	0 10 18 34 70 102 154 168 184 198 250 282 318 334 342 352	-142407685978
STPT(10)	2189464036753466951	0 2 30 32 78 80 126 128 156 158	-30720109506
STPT(10)	2189464434061779689	0 2 42 44 90 92 138 140 180 182	366588203232
SPT(16)	2189464820591924147	0 26 42 60 122 140 152 164 252 264 276 294 356 374 390 416	753118347690
STPT(10)	2189464854059565911	0 2 6 8 48 50 90 92 96 98	786585989454
SPT(18)	2189464887381877177	0 10 36 42 90 154 342 384 420 436 472 514 702 766 814 820 846 856	819908300720
SPT(16)	2189465073353445421	0 10 72 102 112 156 190 226 282 318 352 396 406 436 498 508	1005879868964