Prime p₀= 1539322244108161517 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 34 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 90 92 102 104 144 146
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: 146
Found by: biodoc
db: batch=78, k=12, 2 40 2 10 2 34

SPT(16)	1539322070067772561	0 16 28 42 70 82 120 130 138 148 186 198 226 240 252 268	-174040388956
SPT(16)	1539322071925012637	0 6 12 44 54 62 84 110 126 152 174 182 192 224 230 236	-172183148880
SPT(16)	1539322089090288221	0 6 32 66 90 92 116 168 200 252 276 278 302 336 362 368	-155017873296
SPT(16)	1539322172602431389	0 8 12 14 32 68 90 128 144 182 204 240 258 260 264 272	-71505730128
SPT(16)	1539322177556106949	0 4 24 40 42 48 64 70 102 108 124 130 132 148 168 172	-66552054568
SPT(18)	1539322241826266819	0 8 18 42 60 104 108 110 158 294 342 344 348 392 410 434 444 452	-2281894698
SPT(16)	1539322282422747619	0 58 82 88 112 142 150 154 168 172 180 210 234 240 264 322	38314586102
STPT(10)	1539322297910357027	0 2 12 14 42 44 72 74 84 86	53802195510
STPT(10)	1539322326321135869	0 2 42 44 60 62 78 80 120 122	82212974352
SPT(18)	1539322343724090953	0 14 18 26 48 56 68 98 126 128 156 186 198 206 228 236 240 254	99615929436
SPT(16)	1539322439568058499	0 50 54 98 104 110 162 182 210 230 282 288 294 338 342 392	195459896982