Prime p₀= 278885835056271587 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 22 2 178 2 16 2 (?)
a_n: 0 2 42 44 60 62 84 86 264 266 282 284
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: 284
Found by: [AF>Amis des Lapins] Ceclo
db: batch=69, k=12, 40 16 22 178 16

SPT(14)	278885754716036137	0 22 42 46 52 60 82 90 112 120 126 130 150 172	-80340235450
SPT(14)	278885794251435863	0 30 38 56 60 74 78 86 90 104 108 126 134 164	-40804835724
TPT(12)	278885797508784407	0 2 12 14 42 44 84 86 102 104 144 146	-37547487180
SPT(14)	278885817605475659	0 20 24 38 80 104 122 150 168 192 234 248 252 272	-17450795928
SPT(14)	278885825121998557	0 30 40 46 52 60 72 124 136 144 150 156 166 196	-9934273030
SPT(14)	278885832551148551	0 18 50 56 60 98 108 128 138 176 180 186 218 236	-2505123036
SPT(14)	278885838126005471	0 12 18 20 26 30 86 102 158 162 168 170 176 188	3069733884
TPT(12)	278885847586417427	0 2 12 14 54 56 234 236 264 266 270 272	12530145840
SPT(16)	278885852036986669	0 12 60 72 82 88 90 138 172 220 222 228 238 250 298 310	16980715082
SPT(14)	278885855500361243	0 8 18 30 78 98 110 144 156 176 224 236 246 254	20444089656
SPT(14)	278885865577083139	0 18 34 58 60 72 78 154 160 172 174 198 214 232	30520811552