Prime p₀= 2514121004543362127 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 104
Found by: [AF>Linux]Rogue 9
db: batch=82, k=12, 2 10 2 28 2 16

STPT(10)	2514118611144655391	0 2 30 32 60 62 90 92 120 122	-2393398706736
STPT(10)	2514118717466286989	0 2 42 44 120 122 198 200 240 242	-2287077075138
STPT(10)	2514119809313280197	0 2 30 32 42 44 54 56 84 86	-1195230081930
SPT(16)	2514120095163129139	0 12 52 60 88 102 108 120 130 142 148 162 190 198 238 250	-909380232988
SPT(16)	2514120186990256909	0 22 42 52 54 70 100 124 138 162 192 208 210 220 240 262	-817553105218
SPT(16)	2514120254422764919	0 60 70 112 130 144 148 172 180 204 208 222 240 282 292 352	-750120597208
STPT(10)	2514121182405729971	0 2 6 8 48 50 90 92 96 98	177862367844
STPT(10)	2514121245128728601	0 2 36 38 78 80 120 122 156 158	240585366474
STPT(10)	2514121588137805727	0 2 12 14 72 74 132 134 144 146	583594443600
STPT(10)	2514122435357061377	0 2 30 32 60 62 90 92 120 122	1430813699250
SPT(16)	2514122700684751489	0 58 88 90 132 168 180 198 214 232 244 280 322 324 354 412	1696141389362