Prime p₀= 1286424019658888639 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: damotbe
db: batch=77, k=12, 2 10 2 28 2 16

SPT(16)	1286421898274168471	0 12 72 96 132 140 176 246 272 342 378 386 422 446 506 518	-2121384720168
TPT(14)	1286422177174826927	0 2 54 56 72 74 180 182 222 224 240 242 252 254	-1842484061712
STPT(10)	1286422792152360557	0 2 30 32 60 62 90 92 120 122	-1227506528082
SPT(16)	1286422921750124101	0 6 12 58 60 76 82 118 150 186 192 208 210 256 262 268	-1097908764538
SPT(16)	1286423056383906073	0 28 40 66 76 90 96 120 154 178 184 198 208 234 246 274	-963274982566
SPT(16)	1286423978934223937	0 12 54 80 86 104 162 164 222 224 282 300 306 332 374 386	-40724664702
SPT(16)	1286424155654941741	0 12 18 28 60 70 76 102 106 132 138 148 180 190 196 208	135996053102
STPT(10)	1286425118244678647	0 2 42 44 72 74 102 104 144 146	1098585790008
STPT(10)	1286425239935358959	0 2 18 20 60 62 102 104 120 122	1220276470320
SPT(16)	1286425311717673927	0 22 34 70 126 186 232 364 372 504 550 610 666 702 714 736	1292058785288
STPT(10)	1286425331891367011	0 2 36 38 78 80 120 122 156 158	1312232478372