Prime p₀= 2160507078217515089 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 88 2 40 2 16 2 40 2 (?)
a_n: 0 2 12 14 18 20 108 110 150 152 168 170 210 212
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: 212
Found by: Landjunge
db: batch=81, k=14, 10 4 88 40 16 40

SPT(20)	2160506052491498053	0 6 18 70 94 96 118 124 144 196 198 250 270 276 298 300 324 376 388 394	-1025726017036
STPT(10)	2160506331107627021	0 2 30 32 78 80 126 128 156 158	-747109888068
SPT(16)	2160506457908259847	0 42 46 52 70 112 192 220 222 250 330 372 390 396 400 442	-620309255242
STPT(10)	2160506547345990659	0 2 12 14 30 32 48 50 60 62	-530871524430
SPT(16)	2160506685212398067	0 24 32 54 146 164 174 182 234 242 252 270 362 384 392 416	-393005117022
STPT(10)	2160506828338867829	0 2 18 20 30 32 42 44 60 62	-249878647260
STPT(10)	2160507306667202159	0 2 18 20 60 62 102 104 120 122	228449687070
STPT(10)	2160507455410579547	0 2 24 26 42 44 60 62 84 86	377193064458
SPT(13)	2160507565073422291	0 12 30 42 48 72 90 108 132 138 150 168 180	486855907202
SPT(16)	2160507810960102139	0 18 22 40 42 64 82 84 118 120 138 160 162 180 184 202	732742587050
SPT(16)	2160507939127455529	0 10 30 40 52 72 108 124 138 154 190 210 222 232 252 262	860909940440