Prime p₀= 1970307772410814349 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: [SG-2W]Kurzer
db: batch=80, k=12, 2 28 2 28 2 40

STPT(10)	1970305897653740159	0 2 42 44 60 62 78 80 120 122	-1874757074190
STPT(10)	1970306416137367037	0 2 30 32 72 74 114 116 144 146	-1356273447312
STPT(10)	1970306483915097509	0 2 18 20 30 32 42 44 60 62	-1288495716840
STPT(10)	1970306534468206349	0 2 48 50 60 62 72 74 120 122	-1237942608000
SPT(16)	1970306649630271987	0 42 52 90 102 112 172 196 216 240 300 310 322 360 370 412	-1122780542362
STPT(10)	1970307271589598059	0 2 18 20 30 32 42 44 60 62	-500821216290
TPT(16)	1970308017012719399	0 2 30 32 78 80 120 122 198 200 222 224 402 404 420 422	244601905050
SPT(16)	1970308058269539077	0 6 42 50 116 140 162 180 266 284 306 330 396 404 440 446	285858724728
SPT(16)	1970308533690380113	0 6 40 46 90 96 126 168 178 220 250 256 300 306 340 346	761279565764
SPT(16)	1970308551689460739	0 54 60 64 102 120 124 144 148 168 172 190 228 232 238 292	779278646390
SPT(16)	1970308687581716393	0 30 60 66 86 104 134 140 150 156 186 204 224 230 260 290	915170902044