Prime p₀= 1176564315473696339 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 70 2 16 2 70 2 76 2 (?)
a_n: 0 2 78 80 150 152 168 170 240 242 318 320
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: 320
Found by: vinn@[CNT]
db: batch=77, k=12, 2 76 2 70 2 16

SPT(16)	1176563775933501047	0 24 42 54 134 164 176 180 206 210 222 252 332 344 362 386	-539540195292
SPT(16)	1176563974289300503	0 30 36 48 54 60 70 100 144 174 184 190 196 208 214 244	-341184395836
STPT(10)	1176564037162011479	0 2 42 44 60 62 78 80 120 122	-278311684860
STPT(10)	1176564068541826631	0 2 6 8 18 20 30 32 36 38	-246931869708
STPT(10)	1176564134018911619	0 2 42 44 60 62 78 80 120 122	-181454784720
SPT(16)	1176564250070231467	0 16 30 60 70 124 174 180 190 196 246 300 310 340 354 370	-65403464872
STPT(10)	1176564816515674037	0 2 90 92 132 134 174 176 264 266	501041977698
STPT(10)	1176564955956611057	0 2 42 44 72 74 102 104 144 146	640482914718
STPT(10)	1176565180455762707	0 2 30 32 42 44 54 56 84 86	864982066368
STPT(12)	1176565478558428037	0 2 30 32 60 62 72 74 102 104 132 134	1163084731698
SPT(16)	1176565547441556641	0 20 42 48 80 90 92 98 102 108 110 120 152 158 180 200	1231967860302