Prime p₀= 568818896614587887 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 28 2 10 2 16 2 28 2 (?)
a_n: 0 2 72 74 102 104 114 116 132 134 162 164
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: 164
Found by: marsinph
db: batch=71, k=12, 70 28 10 16 28

SPT(14)	568818785297589829	0 22 58 60 70 78 88 132 142 150 160 162 198 220	-111316998058
SPT(14)	568818817585999993	0 34 48 60 70 130 138 160 168 228 238 250 264 298	-79028587894
SPT(14)	568818828530002241	0 78 98 116 120 188 206 210 228 296 300 318 338 416	-68084585646
SPT(14)	568818874996406603	0 6 20 30 66 74 78 86 90 98 134 144 158 164	-21618181284
TPT(12)	568818881476001081	0 2 6 8 78 80 186 188 288 290 378 380	-15138586806
STPT(10)	568818884022995657	0 2 42 44 102 104 162 164 204 206	-12591592230
SPT(14)	568818906923520991	0 6 58 112 148 162 168 190 196 210 246 300 352 358	10308933104
SPT(14)	568818907741631467	0 42 64 70 90 114 120 166 172 196 216 222 244 286	11127043580
SPT(16)	568818914412978703	0 6 24 70 108 136 166 210 214 258 288 316 354 400 418 424	17798390816
TPT(12)	568818916886986499	0 2 30 32 60 62 108 110 222 224 270 272	20272398612
SPT(14)	568818933401790509	0 18 20 62 102 110 152 258 300 308 348 390 392 410	36787202622