Prime p₀= 3489818500740094769 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 166 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 288 290 330 332 408 410
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: 410
Found by: Orange Kid
db: batch=83, k=12, 2 76 2 40 2 166

SPT(16)	3489817459390848491	0 8 20 26 42 50 72 86 132 146 168 176 192 198 210 218	-1041349246278
STPT(10)	3489817524829586021	0 2 30 32 120 122 210 212 240 242	-975910508748
SPT(16)	3489817827982811561	0 8 38 56 90 126 146 176 192 222 242 278 312 330 360 368	-672757283208
STPT(10)	3489818113903445591	0 2 36 38 78 80 120 122 156 158	-386836649178
SPT(18)	3489818222813898557	0 24 30 32 50 72 80 84 86 150 152 156 164 186 204 206 212 236	-277926196212
STPT(10)	3489818407128826601	0 2 6 8 48 50 90 92 96 98	-93611268168
TPT(14)	3489818500740094769	0 2 78 80 120 122 288 290 330 332 408 410 420 422	0
STPT(10)	3489818542707169019	0 2 42 44 90 92 138 140 180 182	41967074250
STPT(10)	3489818639943492551	0 2 30 32 60 62 90 92 120 122	139203397782
STPT(10)	3489819065696698127	0 2 30 32 42 44 54 56 84 86	564956603358
SPT(16)	3489819526015527337	0 34 42 72 100 120 174 222 304 352 406 426 454 484 492 526	1025275432568