Prime p₀= 2309932123085317187 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 40 2 4 2 40 2 40 2 (?)
a_n: 0 2 42 44 84 86 90 92 132 134 174 176
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: FritzB
db: batch=81, k=12, 2 40 2 40 2 4

STPT(10)	2309930382170063699	0 2 12 14 90 92 168 170 180 182	-1740915253488
STPT(10)	2309930692600166507	0 2 54 56 132 134 210 212 264 266	-1430485150680
STPT(10)	2309930973393014999	0 2 18 20 30 32 42 44 60 62	-1149692302188
SPT(16)	2309931307372510889	0 8 12 14 42 72 78 90 92 104 110 140 168 170 174 182	-815712806298
SPT(16)	2309931450525411373	0 24 48 90 126 154 180 216 268 304 330 358 394 436 460 484	-672559905814
SPT(16)	2309932040692902133	0 30 124 144 160 210 216 244 336 364 370 420 436 456 550 580	-82392415054
SPT(16)	2309932358783852041	0 12 42 46 66 100 130 136 156 162 192 226 246 250 280 292	235698534854
SPT(16)	2309932368058411027	0 16 46 64 72 100 106 112 114 120 126 154 162 180 210 226	244973093840
TPT(14)	2309932375697438729	0 2 30 32 42 44 72 74 198 200 222 224 282 284	252612121542
SPT(16)	2309932656063474349	0 78 84 102 112 144 162 234 298 370 388 420 430 448 454 532	532978157162
SPT(16)	2309932806844600319	0 2 92 132 174 182 228 240 272 284 330 338 380 420 510 512	683759283132