Prime p₀= 273814558280107307 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 100 2 34 2 28 2 28 2 (?)
a_n: 0 2 12 14 114 116 150 152 180 182 210 212
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: 212
Found by: wadesworld18
db: batch=69, k=12, 10 100 34 28 28

SPT(14)	273814470856978669	0 60 78 102 114 120 144 258 282 288 300 324 342 402	-87423128638
SPT(20)	273814477769475497	0 24 44 72 114 122 162 192 204 294 332 422 434 464 504 512 554 582 602 626	-80510631810
SPT(14)	273814483852984661	0 2 6 38 86 122 138 140 156 192 240 272 276 278	-74427122646
SPT(14)	273814508855468159	0 74 78 134 164 194 210 218 234 264 294 350 354 428	-49424639148
SPT(14)	273814536872681537	0 12 20 36 42 50 56 96 102 110 116 132 140 152	-21407425770
TPT(12)	273814538068181651	0 2 30 32 36 38 78 80 156 158 168 170	-20211925656
SPT(14)	273814580592925633	0 6 18 34 60 100 118 126 144 184 210 226 238 244	22312818326
SPT(14)	273814584618743401	0 10 18 76 78 88 112 126 150 160 162 220 228 238	26338636094
SPT(14)	273814585456783001	0 38 42 50 60 66 80 138 152 158 168 176 180 218	27176675694
SPT(14)	273814586770095067	0 6 54 76 82 126 142 144 160 204 210 232 280 286	28489987760
SPT(14)	273814631102761537	0 10 60 96 120 136 144 196 204 220 244 280 330 340	72822654230