Prime p₀= 2471263658867891861 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 58 2 10 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 150 152 210 212 288 290
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: 290
Found by: [SG-FC] hl
db: batch=82, k=12, 2 76 2 58 2 10

SPT(16)	2471262797703137899	0 4 24 48 54 82 102 130 132 160 180 208 214 238 258 262	-861164753962
SPT(16)	2471262851605875913	0 6 10 28 48 76 78 84 130 136 138 166 186 204 208 214	-807262015948
STPT(10)	2471262894188269931	0 2 36 38 78 80 120 122 156 158	-764679621930
STPT(10)	2471262931228445951	0 2 36 38 78 80 120 122 156 158	-727639445910
STPT(10)	2471263215456088811	0 2 6 8 18 20 30 32 36 38	-443411803050
SPT(13)	2471263485930460757	0 12 30 42 96 120 126 132 156 210 222 240 252	-172937431104
STPT(10)	2471263696455474617	0 2 30 32 72 74 114 116 144 146	37587582756
TPT(14)	2471264190705422111	0 2 30 32 60 62 126 128 138 140 150 152 198 200	531837530250
STPT(12)	2471264352434883791	0 2 30 32 90 92 126 128 186 188 216 218	693566991930
SPT(16)	2471264494700868661	0 6 28 72 90 120 130 142 186 198 208 238 256 300 322 328	835832976800
TPT(14)	2471264520347791277	0 2 114 116 132 134 180 182 270 272 282 284 300 302	861479899416