Prime p₀= 2070537399790267907 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 132 134 174 176
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: 176
Found by: Landjunge
db: batch=80, k=12, 2 40 2 28 2 28

STPT(10)	2070536456840816579	0 2 18 20 30 32 42 44 60 62	-942949451328
STPT(10)	2070536795970865217	0 2 30 32 72 74 114 116 144 146	-603819402690
SPT(16)	2070536907676715119	0 82 108 124 160 162 168 174 208 214 220 222 258 274 300 382	-492113552788
SPT(16)	2070537106092013151	0 26 36 66 92 162 180 192 236 248 266 336 362 392 402 428	-293698254756
SPT(16)	2070537156623753267	0 80 92 116 126 134 186 204 212 230 282 290 300 324 336 416	-243166514640
STPT(12)	2070537185093066069	0 2 30 32 42 44 78 80 90 92 120 122	-214697201838
STPT(10)	2070537732555801401	0 2 6 8 48 50 90 92 96 98	332765533494
SPT(16)	2070537929325332407	0 10 24 30 54 66 90 100 150 160 184 196 220 226 240 250	529535064500
STPT(10)	2070537960215389277	0 2 30 32 42 44 54 56 84 86	560425121370
STPT(10)	2070537966439088477	0 2 90 92 102 104 114 116 204 206	566648820570
STPT(10)	2070538716417458237	0 2 30 32 42 44 54 56 84 86	1316627190330