Prime p₀= 2853900628574646797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 28 2 22 2 184 2 22 2 (?)
a_n: 0 2 150 152 180 182 210 212 234 236 420 422 444 446
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: 446
Found by: [SG-FC] hl
db: batch=82, k=14, 148 28 28 22 184 22

STPT(10)	2853899197526840387	0 2 12 14 42 44 72 74 84 86	-1431047806410
STPT(10)	2853899527881171851	0 2 96 98 168 170 240 242 336 338	-1100693474946
TPT(14)	2853900058459902839	0 2 30 32 60 62 78 80 90 92 132 134 228 230	-570114743958
TPT(14)	2853900150306481739	0 2 12 14 168 170 180 182 210 212 240 242 372 374	-478268165058
SPT(16)	2853900181253353637	0 6 56 66 86 104 132 144 152 164 192 210 230 240 290 296	-447321293160
SPT(16)	2853900293600065981	0 76 96 138 150 178 190 216 292 318 330 358 370 412 432 508	-334974580816
SPT(16)	2853901464452351081	0 18 72 96 116 138 140 150 158 168 170 192 212 236 290 308	835877704284
SPT(16)	2853901613253778247	0 12 24 62 86 110 116 146 150 180 186 210 234 272 284 296	984679131450
SPT(16)	2853901816449820847	0 50 62 126 140 170 174 222 254 302 306 336 350 414 426 476	1187875174050
SPT(16)	2853902427275352847	0 6 52 64 154 184 214 234 322 342 372 402 492 504 550 556	1798700706050
STPT(10)	2853902650773811421	0 2 36 38 78 80 120 122 156 158	2022199164624