Prime p₀= 2624530836490858721 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 96 98 126 128 156 158
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: 158
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 34

SPT(16)	2624530164952361513	0 18 50 56 78 80 84 108 176 200 204 206 228 234 266 284	-671538497208
STPT(10)	2624530228552108559	0 2 42 44 90 92 138 140 180 182	-607938750162
SPT(16)	2624530336223800469	0 12 20 54 110 114 168 174 188 194 248 252 308 342 350 362	-500267058252
STPT(10)	2624530393487807171	0 2 6 8 48 50 90 92 96 98	-443003051550
STPT(10)	2624530469063194577	0 2 30 32 72 74 114 116 144 146	-367427664144
STPT(10)	2624530610344913729	0 2 18 20 30 32 42 44 60 62	-226145944992
SPT(16)	2624530842648476459	0 20 42 48 68 84 90 102 140 152 158 174 194 200 222 242	6157617738
SPT(16)	2624531430669023531	0 8 68 78 96 116 120 138 188 206 210 230 248 258 318 326	594178164810
SPT(16)	2624531585967852017	0 44 56 116 120 182 186 200 216 230 234 296 300 360 372 416	749476993296
STPT(10)	2624532112670198837	0 2 30 32 42 44 54 56 84 86	1276179340116
STPT(10)	2624532194920190921	0 2 36 38 78 80 120 122 156 158	1358429332200