Prime p₀= 727254705239050559 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: Theadalus
db: batch=73, k=12, 2 28 2 10 2 16

SPT(16)	727253565074585851	0 40 52 58 70 100 112 130 150 168 180 210 222 228 240 280	-1140164464708
STPT(10)	727254027609487907	0 2 42 44 72 74 102 104 144 146	-677629562652
TPT(14)	727254035602434839	0 2 72 74 90 92 120 122 168 170 198 200 378 380	-669636615720
STPT(10)	727254456558373649	0 2 42 44 90 92 138 140 180 182	-248680676910
SPT(16)	727254565033881253	0 28 36 40 96 106 108 124 150 166 168 178 234 238 246 274	-140205169306
STPT(10)	727254608001137309	0 2 30 32 60 62 90 92 120 122	-97237913250
STPT(10)	727254880418579267	0 2 30 32 42 44 54 56 84 86	175179528708
SPT(16)	727254898459923773	0 24 60 66 104 144 150 164 186 200 206 246 284 290 326 350	193220873214
STPT(10)	727254977042793839	0 2 48 50 90 92 132 134 180 182	271803743280
STPT(10)	727255466370125447	0 2 30 32 42 44 54 56 84 86	761131074888
TPT(14)	727255706871576401	0 2 36 38 78 80 96 98 126 128 180 182 198 200	1001632525842