Prime p₀= 810133036658054099 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 124 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 168 170 198 200 210 212
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: 212
Found by: GLeeM
db: batch=73, k=12, 2 10 2 28 2 124

SPT(16)	810131352259078037	0 6 56 86 90 110 126 144 182 200 216 236 240 270 320 326	-1684398976062
SPT(16)	810131388163143551	0 18 36 50 72 92 98 110 168 180 186 206 228 242 260 278	-1648494910548
SPT(13)	810131774377394431	0 36 96 120 162 180 216 252 270 312 336 396 432	-1262280659668
SPT(16)	810132198091011811	0 30 58 88 142 186 192 208 240 256 262 306 360 390 418 448	-838567042288
STPT(10)	810132680015718971	0 2 6 8 18 20 30 32 36 38	-356642335128
SPT(16)	810132871403445377	0 104 156 176 212 222 270 272 294 296 344 354 390 410 462 566	-165254608722
STPT(10)	810133681143912449	0 2 42 44 60 62 78 80 120 122	644485858350
STPT(10)	810133959856292387	0 2 30 32 42 44 54 56 84 86	923198238288
STPT(10)	810134040524911769	0 2 18 20 30 32 42 44 60 62	1003866857670
SPT(16)	810134168104686203	0 30 36 84 86 98 128 158 186 216 246 258 260 308 314 344	1131446632104
SPT(16)	810134412305533361	0 48 78 120 128 156 158 176 180 198 200 228 236 278 308 356	1375647479262