Prime p₀= 1365033388716217397 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 22 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 114 116 144 146 204 206
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: 206
Found by: stoneageman
db: batch=77, k=12, 2 58 2 28 2 22

TPT(14)	1365031983454533599	0 2 60 62 102 104 132 134 228 230 240 242 270 272	-1405261683798
SPT(16)	1365032215308791759	0 2 20 44 60 80 90 114 158 182 192 212 228 252 270 272	-1173407425638
SPT(16)	1365032995883150299	0 10 18 40 82 88 118 142 168 192 222 228 270 292 300 310	-392833067098
SPT(16)	1365033105320514011	0 32 50 78 90 116 156 176 252 272 312 338 350 378 396 428	-283395703386
SPT(16)	1365033370449676159	0 18 42 52 64 78 84 108 124 148 154 168 180 190 214 232	-18266541238
STPT(10)	1365033375429389759	0 2 18 20 30 32 42 44 60 62	-13286827638
STPT(10)	1365033465759077201	0 2 6 8 48 50 90 92 96 98	77042859804
SPT(16)	1365033625155033497	0 14 20 32 72 102 110 114 140 144 152 182 222 234 240 254	236438816100
TPT(14)	1365033635944345877	0 2 30 32 42 44 102 104 144 146 180 182 210 212	247228128480
STPT(10)	1365033969708864737	0 2 42 44 72 74 102 104 144 146	580992647340
STPT(10)	1365033997143561299	0 2 18 20 60 62 102 104 120 122	608427343902