Prime p₀= 219847274192944289 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 52 2 16 2 10 2 64 2 (?)
a_n: 0 2 138 140 192 194 210 212 222 224 288 290
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: 290
Found by: Megacruncher
db: batch=69, k=12, 136 52 16 10 64

SPT(14)	219847187972482121	0 6 56 72 182 186 192 266 272 276 386 402 452 458	-86220462168
SPT(14)	219847188873324323	0 6 50 80 134 138 146 168 176 180 234 264 308 314	-85319619966
SPT(14)	219847203853634893	0 4 18 30 54 84 96 118 130 160 184 196 210 214	-70339309396
SPT(14)	219847208005203439	0 64 78 90 138 150 154 174 178 190 238 250 264 328	-66187740850
SPT(14)	219847240959498283	0 4 18 40 66 88 124 180 216 238 264 286 300 304	-33233446006
STPT(10)	219847271040083507	0 2 60 62 72 74 84 86 144 146	-3152860782
SPT(14)	219847297270330687	0 12 24 40 70 94 96 100 102 126 156 172 184 196	23077386398
TPT(14)	219847297530243587	0 2 24 26 72 74 84 86 114 116 150 152 162 164	23337299298
SPT(14)	219847300492681297	0 22 36 46 64 72 112 144 184 192 210 220 234 256	26299737008
SPT(14)	219847300581771299	0 62 72 78 92 98 132 170 204 210 224 230 240 302	26388827010
SPT(14)	219847314926456683	0 16 30 48 64 78 120 124 166 180 196 214 228 244	40733512394