Prime p₀= 27629039879813297 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 28 2 22 2 (?)
a_n: 0 2 30 32 72 74 90 92 120 122 144 146
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: 146
Found by: davidBAM
db: batch=65, k=12, 28 40 16 28 22

SPT(14)	27628986889764649	0 22 28 48 58 60 78 82 100 102 112 132 138 160	-52990048648
SPT(16)	27628991997813529	0 4 100 114 124 130 142 144 178 180 192 198 208 222 318 322	-47881999768
SPT(14)	27629002098960653	0 24 44 48 66 98 150 254 306 338 356 360 380 404	-37780852644
SPT(14)	27629017124994317	0 44 54 60 110 114 132 194 212 216 266 272 282 326	-22754818980
SPT(14)	27629018910500899	0 12 34 42 78 108 114 118 124 154 190 198 220 232	-20969312398
TPT(12)	27629026678233599	0 2 48 50 78 80 150 152 168 170 180 182	-13201579698
SPT(14)	27629041363787803	0 16 18 58 120 148 150 154 156 184 246 286 288 304	1483974506
SPT(14)	27629052012270299	0 2 12 30 44 50 54 128 132 138 152 170 180 182	12132457002
SPT(14)	27629059388858401	0 28 36 40 48 60 78 88 106 118 126 130 138 166	19509045104
SPT(14)	27629060029299877	0 10 16 22 36 42 64 102 124 130 144 150 156 166	20149486580
SPT(14)	27629061230510879	0 38 174 234 242 248 314 318 384 390 398 458 594 632	21350697582