Prime p₀= 2855724539438823821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 58 2 148 2 226 2 22 2 (?)
a_n: 0 2 60 62 138 140 198 200 348 350 576 578 600 602
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: 602
Found by: JayPi
db: batch=82, k=14, 58 76 58 148 226 22

SPT(16)	2855722585740636967	0 64 102 132 174 186 190 196 210 216 220 232 274 304 342 406	-1953698186854
SPT(16)	2855723206790349449	0 8 42 60 68 78 158 168 212 222 302 312 320 338 372 380	-1332648474372
SPT(16)	2855723725715134207	0 52 64 90 112 114 120 136 180 196 202 204 226 252 264 316	-813723689614
STPT(10)	2855724091968849089	0 2 18 20 30 32 42 44 60 62	-447469974732
SPT(16)	2855724135041900851	0 22 28 72 88 172 190 222 238 270 288 372 388 432 438 460	-404396922970
SPT(16)	2855724470925088027	0 4 40 42 84 90 94 130 174 210 214 220 262 264 300 304	-68513735794
STPT(10)	2855725038403766951	0 2 36 38 78 80 120 122 156 158	498964943130
STPT(10)	2855725565968071569	0 2 12 14 90 92 168 170 180 182	1026529247748
SPT(16)	2855725803081836759	0 20 84 90 92 98 114 128 144 158 174 180 182 188 252 272	1263643012938
STPT(10)	2855726147927948819	0 2 18 20 30 32 42 44 60 62	1608489124998
STPT(12)	2855726465381709461	0 2 36 38 48 50 78 80 90 92 126 128	1925942885640