Prime p₀= 676854797595840959 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 70 2 28 2 34 2 (?)
a_n: 0 2 18 20 30 32 102 104 132 134 168 170
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: 170
Found by: arkiss
db: batch=72, k=12, 16 10 70 28 34

STPT(10)	676854519458229977	0 2 42 44 72 74 102 104 144 146	-278137610982
TPT(12)	676854537901266479	0 2 18 20 102 104 108 110 138 140 150 152	-259694574480
TPT(12)	676854678941510747	0 2 54 56 150 152 234 236 240 242 294 296	-118654330212
STPT(10)	676854723844099769	0 2 48 50 90 92 132 134 180 182	-73751741190
TPT(12)	676854759020628359	0 2 12 14 42 44 78 80 90 92 150 152	-38575212600
TPT(12)	676854762884873891	0 2 6 8 36 38 48 50 180 182 216 218	-34710967068
SPT(16)	676854841838158523	0 56 66 68 96 114 126 144 290 308 320 338 366 368 378 434	44242317564
SPT(16)	676854858856817243	0 14 18 30 50 98 108 120 158 170 180 228 248 260 264 278	61260976284
TPT(12)	676854883672172057	0 2 12 14 30 32 72 74 144 146 210 212	86076331098
TPT(12)	676854887065007927	0 2 42 44 132 134 174 176 204 206 300 302	89469166968
SPT(16)	676854927097021943	0 18 30 56 110 156 194 216 278 300 338 384 438 464 476 494	129501180984