Prime p₀= 1648408298967306419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 64 2 10 2 28 2 40 2 (?)
a_n: 0 2 30 32 102 104 168 170 180 182 210 212 252 254
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: 254
Found by: Theadalus
db: batch=78, k=14, 28 70 64 10 28 40

STPT(10)	1648407327471027437	0 2 30 32 42 44 54 56 84 86	-971496278982
SPT(20)	1648407350001018727	0 30 96 156 220 294 304 336 340 382 414 456 460 492 502 576 640 700 766 796	-948966287692
STPT(10)	1648407635902776557	0 2 12 14 42 44 72 74 84 86	-663064529862
SPT(16)	1648407707142393671	0 66 80 116 122 152 210 216 236 242 300 330 336 372 386 452	-591824912748
STPT(10)	1648407798928884839	0 2 18 20 30 32 42 44 60 62	-500038421580
SPT(16)	1648408077182367121	0 10 36 66 76 88 112 118 180 186 210 222 232 262 288 298	-221784939298
SPT(16)	1648408533358890299	0 24 38 50 78 80 98 132 140 174 192 194 222 234 248 272	234391583880
SPT(16)	1648408572159001069	0 60 82 102 112 132 154 174 208 228 250 270 280 300 322 382	273191694650
SPT(16)	1648408644159814171	0 6 12 40 52 76 120 126 172 178 222 246 258 286 292 298	345192507752
TPT(14)	1648408953479437229	0 2 90 92 168 170 222 224 330 332 348 350 420 422	654512130810
SPT(16)	1648408985135012911	0 16 66 76 90 100 160 172 180 192 252 262 276 286 336 352	686167706492