Prime p₀= 539386758704346659 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 28 2 28 2 22 2 28 2 (?)
a_n: 0 2 78 80 108 110 138 140 162 164 192 194
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: 194
Found by: Tomáš Brada
db: batch=56, k=12, 76 28 28 22 28

SPT(14)	539386655112373027	0 22 24 60 100 102 114 220 232 234 274 310 312 334	-103591973632
TPT(14)	539386668800352551	0 2 78 80 96 98 138 140 258 260 336 338 360 362	-89903994108
SPT(14)	539386718908460707	0 12 36 60 124 126 142 144 160 162 226 250 274 286	-39795885952
TPT(12)	539386722954579419	0 2 78 80 150 152 342 344 390 392 498 500	-35749767240
TPT(12)	539386736681740331	0 2 18 20 96 98 126 128 138 140 150 152	-22022606328
SPT(16)	539386754888929853	0 8 14 20 38 50 78 80 138 140 168 180 198 204 210 218	-3815416806
SPT(14)	539386762089518671	0 40 42 48 60 72 102 238 268 280 292 298 300 340	3385172012
SPT(14)	539386825830663347	0 12 50 96 104 140 146 300 306 342 350 396 434 446	67126316688
SPT(14)	539386830618564553	0 28 30 34 48 60 70 78 88 100 114 118 120 148	71914217894
SPT(14)	539386861907940257	0 26 50 56 74 84 116 144 176 186 204 210 234 260	103203593598
SPT(14)	539386864705905121	0 22 58 70 90 112 138 142 168 190 210 222 258 280	106001558462