Prime p₀= 4817456379359849 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 16 2 46 2 82 2 88 2 (?)
a_n: 0 2 12 14 30 32 78 80 162 164 252 254
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: 254
Found by: Lazarus-uk
db: batch=61, k=12, 10 16 46 82 88

SPT(14)	4817434787853169	0 18 52 70 82 88 114 208 234 240 252 270 304 322	-21591506680
STPT(10)	4817436089706209	0 2 12 14 30 32 48 50 60 62	-20289653640
SPT(14)	4817442323045701	0 30 42 46 52 82 88 150 156 186 192 196 208 238	-14056314148
TPT(12)	4817442757923491	0 2 90 92 120 122 126 128 150 152 180 182	-13621436358
SPT(14)	4817446064842319	0 20 74 84 104 108 122 150 164 168 188 198 252 272	-10314517530
SPT(14)	4817452607923639	0 10 12 28 34 52 82 90 120 138 144 160 162 172	-3771436210
SPT(14)	4817459504805907	0 4 24 36 40 46 70 120 144 150 154 166 186 190	3125446058
SPT(16)	4817466509343923	0 24 66 68 78 134 138 140 204 206 210 266 276 278 320 344	10129984074
TPT(12)	4817487835123289	0 2 102 104 132 134 138 140 198 200 210 212	31455763440
SPT(14)	4817494934453821	0 6 16 28 36 58 70 78 90 112 120 132 142 148	38555093972
SPT(14)	4817505195596453	0 8 26 38 44 68 78 86 96 120 126 138 156 164	48816236604