Prime p₀= 2339455740902603459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: MarkRBright
db: batch=81, k=12, 2 10 2 28 2 4

SPT(16)	2339454160956208073	0 8 66 74 98 120 186 200 204 218 284 306 330 338 396 404	-1579946395386
SPT(16)	2339454803029234823	0 18 56 66 80 104 108 126 188 206 210 234 248 258 296 314	-937873368636
STPT(10)	2339454938642585507	0 2 42 44 72 74 102 104 144 146	-802260017952
SPT(16)	2339455269169666313	0 18 50 54 56 116 138 164 180 206 228 288 290 294 326 344	-471732937146
SPT(16)	2339455394284216807	0 22 34 46 70 76 102 114 172 184 210 216 240 252 264 286	-346618386652
SPT(16)	2339455582788199103	0 30 96 120 128 134 144 156 158 170 180 186 194 218 284 314	-158114404356
STPT(10)	2339455804970015351	0 2 138 140 168 170 198 200 336 338	64067411892
STPT(10)	2339456050136230349	0 2 18 20 30 32 42 44 60 62	309233626890
SPT(16)	2339456209104698027	0 2 54 86 92 120 134 180 236 282 296 324 330 362 414 416	468202094568
STPT(10)	2339456376815501297	0 2 54 56 72 74 90 92 144 146	635912897838
SPT(16)	2339456645196620743	0 30 48 54 76 100 124 136 198 210 234 258 280 286 304 334	904294017284