Prime p₀= 1014040630507689269 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 28 2 76 2 28 2 58 2 (?)
a_n: 0 2 60 62 90 92 168 170 198 200 258 260
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: 260
Found by: cwierzbicki
db: batch=76, k=12, 2 58 2 28 2 76

SPT(16)	1014039954763019719	0 10 22 52 58 78 84 100 162 178 184 204 210 240 252 262	-675744669550
SPT(16)	1014040013619990307	0 16 60 70 112 126 136 150 172 186 196 210 252 262 306 322	-616887698962
SPT(16)	1014040125804080041	0 16 18 30 60 66 88 150 238 300 322 328 358 370 372 388	-504703609228
STPT(10)	1014040241026212089	0 2 18 20 30 32 42 44 60 62	-389481477180
STPT(10)	1014040280117331161	0 2 30 32 78 80 126 128 156 158	-350390358108
SPT(16)	1014040372377959477	0 20 42 62 90 116 126 144 182 200 210 236 264 284 306 326	-258129729792
STPT(10)	1014040667192104169	0 2 48 50 60 62 72 74 120 122	36684414900
STPT(10)	1014040752144952067	0 2 30 32 42 44 54 56 84 86	121637262798
STPT(10)	1014041078474785577	0 2 60 62 72 74 84 86 144 146	447967096308
SPT(16)	1014041138788418863	0 28 36 70 150 196 310 376 390 456 570 616 696 730 738 766	508280729594
TPT(14)	1014041667108979217	0 2 42 44 60 62 90 92 102 104 132 134 144 146	1036601289948