Prime p₀= 1281139129722765431 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 4 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 66 68 108 110 126 128
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: 128
Found by: mikey
db: batch=77, k=12, 2 16 2 40 2 4

SPT(16)	1281138371525597881	0 22 28 106 160 202 228 252 346 370 396 438 492 570 576 598	-758197167550
TPT(14)	1281138471966836771	0 2 30 32 78 80 96 98 138 140 276 278 498 500	-657755928660
SPT(13)	1281138519582733261	0 42 60 102 108 132 150 168 192 198 240 258 300	-610140032170
STPT(10)	1281138528949938689	0 2 18 20 30 32 42 44 60 62	-600772826742
STPT(10)	1281139034574708311	0 2 30 32 60 62 90 92 120 122	-95148057120
STPT(12)	1281139060906823927	0 2 42 44 84 86 90 92 132 134 174 176	-68815941504
STPT(10)	1281139869313457927	0 2 54 56 72 74 90 92 144 146	739590692496
SPT(16)	1281140443476421769	0 2 14 30 72 114 140 168 194 222 248 290 332 348 360 362	1313753656338
STPT(10)	1281140513649659417	0 2 42 44 72 74 102 104 144 146	1383926893986
STPT(10)	1281140828342623361	0 2 36 38 78 80 120 122 156 158	1698619857930
SPT(16)	1281141105624525701	0 6 8 48 56 86 90 140 156 206 210 240 248 288 290 296	1975901760270