Prime p₀= 2572128768571907117 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: [B^S]ABoskovich
db: batch=82, k=12, 2 40 2 16 2 22

SPT(16)	2572127579445008369	0 42 152 204 228 234 270 284 288 302 338 344 368 420 530 572	-1189126898748
SPT(16)	2572127838225060751	0 6 58 60 88 130 142 160 168 186 198 240 268 270 322 328	-930346846366
TPT(14)	2572127884054761881	0 2 6 8 30 32 60 62 78 80 90 92 120 122	-884517145236
STPT(10)	2572128435614115359	0 2 18 20 60 62 102 104 120 122	-332957791758
STPT(12)	2572128628526680229	0 2 12 14 30 32 180 182 198 200 210 212	-140045226888
TPT(14)	2572128768571907099	0 2 18 20 60 62 78 80 102 104 120 122 162 164	-18
SPT(16)	2572128832283429761	0 30 40 52 60 88 108 118 192 202 222 250 258 270 280 310	63711522644
STPT(10)	2572128836771349641	0 2 30 32 78 80 126 128 156 158	68199442524
STPT(10)	2572128948433332227	0 2 30 32 60 62 90 92 120 122	179861425110
SPT(16)	2572129171621259099	0 12 20 50 54 90 92 110 114 132 134 170 174 204 212 224	403049351982
SPT(16)	2572129426263720073	0 4 10 18 28 48 64 88 90 114 130 150 160 168 174 178	657691812956