Prime p₀= 1967079869163741851 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 4 2 82 2 4 2 28 2 (?)
a_n: 0 2 30 32 36 38 120 122 126 128 156 158
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: 158
Found by: Landjunge
db: batch=80, k=12, 2 28 2 4 2 82

SPT(16)	1967078956443438401	0 2 50 152 170 200 246 266 282 302 348 378 396 498 546 548	-912720303450
TPT(14)	1967079209527244999	0 2 42 44 60 62 90 92 132 134 222 224 270 272	-659636496852
STPT(10)	1967079329855157779	0 2 48 50 60 62 72 74 120 122	-539308584072
SPT(16)	1967079451000677631	0 22 36 172 190 232 246 256 276 286 300 342 360 496 510 532	-418163064220
TPT(14)	1967079455500412261	0 2 30 32 66 68 240 242 336 338 348 350 378 380	-413663329590
TPT(14)	1967079466917375857	0 2 72 74 90 92 114 116 180 182 222 224 300 302	-402246365994
SPT(16)	1967080315230457871	0 20 30 66 72 96 98 108 110 120 122 146 152 188 198 218	446066716020
SPT(16)	1967080386247871303	0 44 80 104 156 168 170 194 210 234 236 248 300 324 360 404	517084129452
SPT(16)	1967080818513947683	0 4 28 46 84 108 150 156 178 184 226 250 288 306 330 334	949350205832
STPT(10)	1967081295398066327	0 2 30 32 42 44 54 56 84 86	1426234324476
STPT(10)	1967081492613987821	0 2 30 32 78 80 126 128 156 158	1623450245970