Prime p₀= 997882459721641577 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: HenkM
db: batch=76, k=12, 2 10 2 10 2 4

STPT(10)	997881544844548121	0 2 6 8 18 20 30 32 36 38	-914877093456
STPT(10)	997881832072413227	0 2 30 32 60 62 90 92 120 122	-627649228350
SPT(16)	997881904802394193	0 58 114 126 178 208 228 240 334 346 366 396 448 460 516 574	-554919247384
SPT(16)	997881950749710161	0 32 42 50 80 90 102 120 170 188 200 210 240 248 258 290	-508971931416
SPT(16)	997882137511804817	0 12 84 150 152 180 192 194 270 272 284 312 314 380 452 464	-322209836760
STPT(10)	997882145714125457	0 2 30 32 60 62 90 92 120 122	-314007516120
STPT(10)	997883218817957387	0 2 24 26 42 44 60 62 84 86	759096315810
SPT(16)	997883507560682387	0 30 56 60 86 134 140 156 170 186 192 240 266 270 296 326	1047839040810
SPT(16)	997883560551170999	0 2 12 18 32 44 54 80 102 128 138 150 164 170 180 182	1100829529422
SPT(13)	997883665739844239	0 30 42 54 72 90 132 174 192 210 222 234 264	1206018202662
STPT(10)	997883932163730917	0 2 30 32 42 44 54 56 84 86	1472442089340