Prime p₀= 1965803057155468481 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 82 2 4 2 82 2 64 2 (?)
a_n: 0 2 66 68 150 152 156 158 240 242 306 308
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: 308
Found by: Landjunge
db: batch=80, k=12, 2 64 2 82 2 4

SPT(16)	1965802071731399267	0 14 32 42 90 156 182 186 230 234 260 326 374 384 402 416	-985424069214
SPT(16)	1965802204219862213	0 20 30 38 98 134 164 168 170 174 204 240 300 308 318 338	-852935606268
SPT(16)	1965802502972354197	0 34 40 42 132 144 154 160 216 222 232 244 334 336 342 376	-554183114284
TPT(14)	1965802676435214347	0 2 12 14 24 26 42 44 84 86 120 122 150 152	-380720254134
SPT(16)	1965802680074384807	0 56 90 134 146 174 222 264 272 314 362 390 402 446 480 536	-377081083674
SPT(16)	1965802911501830201	0 6 8 30 38 72 86 108 110 132 146 180 188 210 212 218	-145653638280
SPT(16)	1965803249324756687	0 30 54 84 96 104 132 140 156 164 192 200 212 242 266 296	192169288206
SPT(16)	1965803275091591813	0 36 44 54 78 128 168 170 204 206 246 296 320 330 338 374	217936123332
STPT(10)	1965803385449357261	0 2 96 98 108 110 120 122 216 218	328293888780
SPT(16)	1965803434810031867	0 32 42 50 56 74 84 110 186 212 222 240 246 254 264 296	377654563386
STPT(10)	1965803929828686089	0 2 18 20 30 32 42 44 60 62	872673217608