Prime p₀= 1657565311944443507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 10 2 40 2 94 2 40 2 (?)
a_n: 0 2 60 62 90 92 102 104 144 146 240 242 282 284
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: 284
Found by: ea1ghg
db: batch=79, k=14, 58 28 10 40 94 40

SPT(16)	1657563043739144023	0 34 40 70 138 154 180 208 210 238 264 280 348 378 384 418	-2268205299484
STPT(10)	1657563318630398981	0 2 6 8 48 50 90 92 96 98	-1993314044526
STPT(10)	1657563881954102951	0 2 6 8 48 50 90 92 96 98	-1429990340556
STPT(10)	1657564672523900909	0 2 18 20 30 32 42 44 60 62	-639420542598
SPT(16)	1657564979582114929	0 84 100 132 210 214 228 258 364 394 408 412 490 522 538 622	-332362328578
SPT(16)	1657565231164052363	0 14 30 48 80 104 108 170 234 296 300 324 356 374 390 404	-80780391144
SPT(16)	1657565703961585147	0 22 66 72 90 132 136 162 184 210 214 256 274 280 324 346	392017141640
TPT(14)	1657565713432095737	0 2 30 32 132 134 240 242 252 254 270 272 312 314	401487652230
SPT(16)	1657565764916225743	0 18 36 46 60 66 78 96 160 178 190 196 210 220 238 256	452971782236
SPT(16)	1657565845450854509	0 2 60 144 150 192 212 218 234 240 260 302 308 392 450 452	533506411002
STPT(10)	1657565967111492551	0 2 36 38 78 80 120 122 156 158	655167049044