Prime p₀= 509961082305605717 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 16 2 130 2 4 2 (?)
a_n: 0 2 12 14 24 26 42 44 174 176 180 182
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: 182
Found by: Dirk Broer
db: batch=71, k=12, 10 10 16 130 4

SPT(16)	509961046197149363	0 14 50 168 174 218 234 248 276 290 306 350 356 474 510 524	-36108456354
SPT(14)	509961048738765973	0 6 30 60 90 96 126 228 258 264 294 324 348 354	-33566839744
SPT(14)	509961049163466113	0 66 80 96 104 156 180 224 248 300 308 324 338 404	-33142139604
SPT(14)	509961058232400421	0 10 40 48 52 70 72 76 78 96 100 108 138 148	-24073205296
STPT(10)	509961061703166257	0 2 30 32 60 62 90 92 120 122	-20602439460
SPT(14)	509961070641125707	0 10 30 52 64 66 114 142 190 192 204 226 246 256	-11664480010
SPT(14)	509961108757380061	0 6 42 66 112 136 292 306 462 486 532 556 592 598	26451774344
SPT(14)	509961112895921509	0 18 40 78 88 118 120 130 132 162 172 210 232 250	30590315792
SPT(14)	509961116241561073	0 4 24 64 84 90 108 130 148 154 174 214 234 238	33935955356
SPT(14)	509961125448951749	0 2 42 48 102 144 188 234 278 320 374 380 420 422	43143346032
SPT(14)	509961144992174107	0 12 22 112 144 172 190 204 222 250 282 372 382 394	62686568390