Prime p₀= 247451409683104577 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 148 2 40 2 4 2 (?)
a_n: 0 2 12 14 42 44 192 194 234 236 240 242
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: 242
Found by: Steve Dodd
db: batch=69, k=12, 10 28 148 40 4

SPT(16)	247451316839098261	0 10 18 22 30 36 60 66 142 148 172 178 186 190 198 208	-92844006316
SPT(14)	247451319116710769	0 2 12 74 84 90 102 140 152 158 168 230 240 242	-90566393808
SPT(14)	247451338009044097	0 4 12 22 24 64 90 166 192 232 234 244 252 256	-71674060480
SPT(14)	247451351310788689	0 4 22 42 54 58 60 82 84 88 100 120 138 142	-58372315888
SPT(20)	247451377052463821	0 6 26 30 42 72 96 156 206 222 266 282 332 392 416 446 458 462 482 488	-32630640756
SPT(14)	247451403325305631	0 18 72 160 232 258 268 300 310 336 408 496 550 568	-6357798946
STPT(10)	247451422414620209	0 2 30 32 60 62 90 92 120 122	12731515632
SPT(14)	247451434046244173	0 20 26 36 48 84 98 126 140 176 188 198 204 224	24363139596
SPT(14)	247451443450713181	0 40 42 60 78 82 120 130 168 172 190 208 210 250	33767608604
SPT(14)	247451462244916801	0 16 46 60 112 166 210 352 396 450 502 516 546 562	52561812224
TPT(12)	247451463446302847	0 2 84 86 90 92 114 116 132 134 354 356	53763198270