Prime p₀= 2234590625702289887 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: Penguin
db: batch=81, k=12, 2 28 2 10 2 46

STPT(10)	2234588655594084701	0 2 6 8 18 20 30 32 36 38	-1970108205186
STPT(10)	2234588686853075339	0 2 42 44 90 92 138 140 180 182	-1938849214548
SPT(16)	2234588761273237111	0 10 12 18 28 30 52 72 166 186 208 210 220 226 228 238	-1864429052776
TPT(14)	2234589109657664687	0 2 30 32 54 56 144 146 174 176 252 254 300 302	-1516044625200
SPT(16)	2234589380398663339	0 10 28 72 88 90 112 130 132 150 172 174 190 234 252 262	-1245303626548
STPT(10)	2234590041971820677	0 2 60 62 72 74 84 86 144 146	-583730469210
SPT(16)	2234590994108703511	0 10 12 22 42 78 100 102 106 108 130 166 186 196 198 208	368406413624
STPT(10)	2234591155339766957	0 2 30 32 42 44 54 56 84 86	529637477070
STPT(10)	2234591262196718609	0 2 18 20 30 32 42 44 60 62	636494428722
SPT(16)	2234591352985676353	0 6 16 28 34 48 70 126 148 204 226 240 246 258 268 274	727283386466
STPT(10)	2234591926730770907	0 2 24 26 42 44 60 62 84 86	1301028481020