Prime p₀= 2814538586487283259 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 226 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 270 272 282 284 312 314
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: 314
Found by: JayPi
db: batch=82, k=12, 2 28 2 10 2 226

SPT(16)	2814535706762559407	0 12 42 56 66 90 102 150 176 224 236 260 270 284 314 326	-2879724723852
SPT(16)	2814536533961872283	0 6 26 36 44 78 104 146 168 210 236 270 278 288 308 314	-2052525410976
SPT(16)	2814537650179034107	0 12 40 60 94 126 150 172 174 196 220 252 286 306 334 346	-936308249152
STPT(10)	2814537797398567151	0 2 6 8 18 20 30 32 36 38	-789088716108
TPT(14)	2814537829800365321	0 2 48 50 120 122 156 158 186 188 246 248 408 410	-756686917938
STPT(10)	2814538174126244471	0 2 6 8 48 50 90 92 96 98	-412361038788
SPT(16)	2814538677976419521	0 8 30 36 56 96 110 128 168 186 200 240 260 266 288 296	91489136262
STPT(10)	2814538693881761837	0 2 12 14 42 44 72 74 84 86	107394478578
STPT(10)	2814539044158423077	0 2 60 62 72 74 84 86 144 146	457671139818
STPT(10)	2814539159048759027	0 2 30 32 72 74 114 116 144 146	572561475768
STPT(12)	2814539515562675897	0 2 12 14 42 44 120 122 150 152 162 164	929075392638