Prime p₀= 726740119166883959 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: Theadalus
db: batch=73, k=12, 2 10 2 28 2 16

SPT(16)	726738866821682537	0 54 72 84 110 120 132 140 294 302 314 324 350 362 380 434	-1252345201422
STPT(10)	726739224607632791	0 2 36 38 78 80 120 122 156 158	-894559251168
SPT(16)	726739336226391133	0 70 100 106 144 196 226 244 270 288 318 370 408 414 444 514	-782940492826
STPT(10)	726739460204601539	0 2 48 50 90 92 132 134 180 182	-658962282420
TPT(14)	726739584900846071	0 2 36 38 60 62 228 230 300 302 330 332 396 398	-534266037888
SPT(20)	726740096843990149	0 12 42 214 222 232 240 280 294 298 324 328 342 382 390 400 408 580 610 622	-22322893810
TPT(14)	726740119166883959	0 2 12 14 42 44 60 62 90 92 102 104 132 134	0
SPT(16)	726740207305000697	0 2 42 86 194 200 224 252 284 312 336 342 450 494 534 536	88138116738
STPT(10)	726740539283180921	0 2 36 38 78 80 120 122 156 158	420116296962
SPT(16)	726741052903063379	0 2 24 54 60 62 84 104 108 128 150 152 158 188 210 212	933736179420
STPT(10)	726741605874828461	0 2 30 32 78 80 126 128 156 158	1486707944502