Prime p₀= 2427365364307859777 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: JayPi
db: batch=82, k=12, 2 58 2 22 2 4

SPT(16)	2427364160765857177	0 34 42 64 82 96 112 142 144 174 190 204 222 244 252 286	-1203542002600
STPT(10)	2427364557458124329	0 2 42 44 90 92 138 140 180 182	-806849735448
SPT(16)	2427364777172573219	0 24 98 108 164 210 252 290 372 410 452 498 554 564 638 662	-587135286558
STPT(10)	2427364865681844467	0 2 30 32 42 44 54 56 84 86	-498626015310
STPT(10)	2427365335841587367	0 2 30 32 72 74 114 116 144 146	-28466272410
STPT(10)	2427365354597366459	0 2 48 50 90 92 132 134 180 182	-9710493318
STPT(10)	2427365688056996147	0 2 24 26 42 44 60 62 84 86	323749136370
STPT(10)	2427365838051684851	0 2 96 98 138 140 180 182 276 278	473743825074
SPT(16)	2427366026182993319	0 8 42 54 62 98 132 138 224 230 264 300 308 320 354 362	661875133542
SPT(16)	2427366734354180603	0 6 24 54 66 74 98 110 174 186 210 218 230 260 278 284	1370046320826
TPT(14)	2427366785418559727	0 2 30 32 84 86 114 116 162 164 210 212 222 224	1421110699950