Prime p₀= 2409464131992231269 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 88 2 34 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 168 170 258 260 300 302
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: 302
Found by: JayPi
db: batch=82, k=12, 2 40 2 88 2 34

STPT(10)	2409462554387232899	0 2 42 44 60 62 78 80 120 122	-1577604998370
SPT(16)	2409463180818100333	0 16 24 28 64 114 138 148 156 166 190 240 276 280 288 304	-951174130936
SPT(16)	2409463207599722741	0 8 36 48 56 60 78 126 140 188 206 210 218 230 258 266	-924392508528
STPT(10)	2409463260359071907	0 2 12 14 42 44 72 74 84 86	-871633159362
SPT(16)	2409463999393909417	0 10 22 42 64 120 142 156 190 204 226 282 304 324 336 346	-132598321852
SPT(16)	2409464109143768309	0 14 44 50 92 98 128 150 182 204 234 240 282 288 318 332	-22848462960
SPT(16)	2409464302978341929	0 62 132 152 162 168 182 224 228 270 284 290 300 320 390 452	170986110660
STPT(10)	2409464414545379309	0 2 18 20 30 32 42 44 60 62	282553148040
SPT(16)	2409464648346949867	0 42 60 70 72 142 192 216 256 280 330 400 402 412 430 472	516354718598
SPT(16)	2409465429778274249	0 18 42 72 110 120 134 158 264 288 302 312 350 380 404 422	1297786042980
STPT(10)	2409465549837034877	0 2 24 26 42 44 60 62 84 86	1417844803608